Okay, so here it is. Every artist to have a hit on the UK Singles Chart during the 1950s and 1960s. I may later do the 1970s if this thread is successful. In the meantime, I will post letter by letter and I invite all users and guests to collaborate on any information you have/find.

Rules:
1) Artist must have had a hit single within the UK top 75 to be included (though the chart didn't go as high as 75 until 1978).
2) I appreciate that before February 1969, there was no official chart and that NME, Record Mirror etc. had their own charts. As such, I am using the preferred data of The Official Charts Company prior to '69.
3) As far as bands go, the members I've included appeared on the hit singles themselves, to the best of my knowledge. This is where it gets tricky - some bands had many members over the course of their history and information isn't always available for it to be clear who recorded on which hit. I will mark the acts where I'm unsure if the members I've listed are correct.
4) Orchestras, choirs and backing bands etc. won't be included - this is impractical as the research will become exhaustive and the individuals concerned are often so trivial that no information on them exists. So for an act like Ray Anthony and his Orchestra, I'll only cover Ray Anthony.
5) For bio info, same rules apply as Wikipedia. Individuals who are younger than 90 are by default listed as living if no death information is available.

Acts who are dead (including groups with no living members) are highlighted in red.

I've also hyperlinked all hit singles to their YouTube pages so people can enjoy the music too!

A

Cliff Adams 21 Aug 1923 – 22 Oct 2001 (78) Guardian obit
Wiki UK orchestra leader from Southwark, London, also a member of The Stargazers
28/04/1960 The Lonely Man Theme #39 Used in television commercials for Strand cigarettes

Marie Adams 19 Oct 1925 – 23 Feb 1998 (72) Mention of death Wiki American gospel and R&B singer from Linden, Texas, born as Ollie Marie Givens, known for her work with Johnny Otis
22/11/1957 Ma (He's Making Eyes at Me) #2 Released as Johnny Otis and his Orchestra with Marie Adams and The Three Tons of Joy
10/01/1958 Bye Bye Baby #20 Released as The Johnny Otis Show, vocals by Marie Adams and Johnny Otis

Jewel Akens 12 Sep 1933 – 01 Mar 2013 (79) LA Times obit Wiki American singer from Houston, Texas, one of ten children and called "Jewel" because his mother wanted a daughter and liked the name
25/03/1965 The Birds and the Bees #29

Alfi and Harry (aka David Seville) 27 Jan 1919 – 16 Jan 1972 (52) NY Times obit
Wiki American singer from Fresno, California, real name Ross Bagdasarian Sr., created Alvin and the Chipmunks
23/03/1956 The Trouble with Harry #15 Inspired by the 1955 Alfred Hitchcock film The Trouble with Harry

The Allisons 
Wiki UK pop duo who met as part of a church choir, not real brothers despite being publicised as such
John Alford 31 Dec 1939 – Living
Bob Day 02 Feb 1941 – 25 Nov 2013 (72) The Stage obit
23/02/1961 Are You Sure #2 The UK's 1961 Eurovision entry (came in 2nd place behind Luxembourg)
18/05/1961 Words #34
15/02/1962 Lessons in Love #30

Herb Alpert & the Tijuana Brass 31 Mar 1935 – Living
Wiki American trumpeter from Los Angeles, California, started playing at 8 years old, and began his career by penning hits for Sam Cooke, formed various record companies and won eight Grammys, inducted into the Rock and Roll Hall of Fame in 2006 as a non-performer
13/01/1963 The Lonely Bull #22
09/12/1965 Spanish Flea #3 Theme to U.S. television show The Dating Game
24/03/1966 Tijuana Taxi #37
27/04/1967 Casino Royale #27 Featured in 1967 James Bond spoof film Casino Royale
03/07/1968 This Guy's in Love with You #3 Released simply as Herb Alpert
18/06/1969 Without Her #36 Released simply as Herb Alpert

Amen Corner
Wiki UK rock band from Cardiff, Wales
Dennis Bryon 14 Apr 1949 – Living
Andy Fairweather Low 02 Aug 1948 – Living
Allan Jones 06 Feb 1947 – Living
Neil Jones 25 Mar 1949 – 08 Jun 2018 (69) BBC obit
Mike Smith 04 Nov 1947 – Living
Clive Taylor 27 Apr 1948 – Living
Blue Weaver 11 Mar 1947 – Living
26/07/1967 Gin House Blues #12
11/10/1967 The World of Broken Hearts #24
17/01/1968 Bend Me Shape Me #3 Cover of single by The American Breed
31/07/1968 High in the Sky #6
29/01/1969 (If Paradise is) Half as Nice #1
25/06/1969 Hello Susie #4

The American Breed
Wiki American rock group from Brookfield, Illinois, formed in 1958 and disbanded in 1970 when it evolved into funk band Rufus
Al Ciner 14 May 1947 – Living
Charles Colbert 39 Aug 1939 – Living
Lee Graziano 09 Nov 1943 – Living
Gary Loizzo 16 Aug 1945 – 16 Jan 2016 (70) Ultimate Classic Rock obit
07/02/1968 Bend Me Shape Me #24 Covered by UK rock band Amen Corner

The Ames Brothers
Wiki American family group from Malden, Massachusetts, Ed Ames later had a very successful solo career, Vic Ames died in a car accident in January 1978
Ed Ames 09 Jul 1927 – 21 May 2023 (95) Variety obit
Gene Ames 13 Feb 1923 – 26 Apr 1997 (74) Variety obit
Joe Ames 03 May 1921 – 22 Dec 2007 (86) NY Times obit
Vic Ames 20 May 1925 – 23 Jan 1978 (52) NY Times obit
04/02/1955 The Naughty Lady of Shady Lane #6

Leroy Anderson and his Pops Concert Orchestra 29 Jun 1908 – 19 May 1975 (66) NY Times obit
Wiki American orchestra leader from Cambridge, Massachusetts
28/06/1957 Forgotten Dreams #24

Moira Anderson 05 Jun 1938 – Living
Wiki UK singer from Kirkintilloch, Dunbartonshire, Scotland, awarded an OBE in 1970, sang at the funeral of Norman Wisdom
27/12/1969 The Holy City #43

Chris Andrews 15 Oct 1942 – Living
Wiki UK singer-songwriter from Romford, Essex, penned hits for Sandie Shaw and Adam Faith as a writer
07/10/1965 Yesterday Man #3
02/12/1965 To Whom it Concerns #13
14/04/1966 Something on my Mind #41
02/06/1966 Whatcha Gonna Do Now #40
25/08/1966 Stop that Girl #36

Eamonn Andrews 19 Dec 1922 – 05 Nov 1987 (64) RTE obit
Wiki Irish radio and television presenter from Dublin who primarily worked in the UK, hosted This Is Your Life and Crackerjack!, awarded a CBE in 1970
20/01/1956 The Shifting Whispering Sands (Parts 1 & 2) #18 Released as Eamonn Andrews with Ron Goodwin and his Orchestra

Bobby Angelo and The Tuxedos 
Discogs UK rockabilly group, later became The Outlaws and then The Innocents
Bobby Angelo 24 Jul 1941 – Living
Dave Brown c. 1943 – Living
Roger Brown 1944 – Living
Pete Cresswell c. 1945 – Living
Colin Giffin 1943 – Living
Roger Groom (aka Roger Groome) 10 Nov 1939 – Living
10/08/1961 Baby Sittin' #30 Cover of a single by American singer Myron Lee
NB: Angelo and Cresswell definitely appeared on the record, unsure about the others / rumours have it that Mick Avory (later of The Kinks) drummed on the record

The Angels
Wiki American vocal girl group from New Jersey
Barbara Allbutt 24 Sep 1940 – 10 Jul 2021 (80) Obit
Phyllis Allbutt 24 Sep 1942 – Living
Peggy Santiglia 04 May 1944 – Living
03/10/1963 My Boyfriend's Back #50
NB: Phyllis Allbutt is now Phyllis Sirico, and Peggy Santiglia is now Peggy Ricker.

The Animals
Wiki UK rock and R&B band from Newcastle, inducted into the Rock and Roll Hall of Fame in 1994
Vic Briggs 14 Feb 1945 – 25 Jun 2021 (76) Mention of death
Eric Burdon 11 May 1941 – Living
Chas Chandler 18 Dec 1938 – 17 Jul 1996 (57) Independent obit
Barry Jenkins 22 Dec 1944 – Living
Danny McCulloch 18 Jul 1945 – 29 Jan 2015 (69) Ultimate Classic Rock obit
Zoot Money 17 Jul 1942 – Living
Alan Price 19 Apr 1942 – Living
Dave Rowberry 04 Jul 1940 – 06 Jun 2003 (62) Guardian obit
John Steel 04 Feb 1941 – Living
Hilton Valentine 21 May 1943 – 29 Jan 2021 (77) Daily Mail obit
John Weider 21 Apr 1947 – Living
16/04/1964 Baby Let Me Take You Home #21
25/06/1964 The House of the Rising Sun #1
17/09/1964 I'm Crying #8
04/02/1965 Don't Let Me Be Misunderstood #3
08/04/1965 Bring it on Home to Me #7 Cover of a single by Sam Cooke
15/07/1965 We Gotta Get Out of This Place #2
28/10/1965 It's My Life #7
17/02/1966 Inside – Looking Out #12
02/06/1966 Don't Bring me Down #6
27/10/1966 Help Me Girl #14 Released as Eric Burdon and The Animals
15/06/1967 When I Was Young #45 Released as Eric Burdon and The Animals
06/09/1967 Good Times #20 Released as Eric Burdon and The Animals
18/10/1967 San Franciscan Nights #7 Released as Eric Burdon and The Animals
14/02/1968 Sky Pilot #40 Released as Eric Burdon and The Animals
15/01/1969 Ring of Fire #35 Released as Eric Burdon and The Animals / Cover of a single by Johnny Cash
NB: Not including Mick Gallagher (b. 1945, member in 1965) because it doesn't appear that he recorded on any of these singles

Paul Anka 30 Jul 1941 – Living
Wiki Canadian singer and actor from Ottawa, Ontario, debuted at the age of 10, wrote the English lyrics for My Way by Frank Sinatra
09/08/1957 Diana #1 Written about an infatuation with his babysitter
08/11/1957 I Love You Baby #3
08/11/1957 Tell Me that you Love Me #25 B-side to I Love You Baby
31/01/1958 You are My Destiny #6
30/05/1958 Crazy Love #26
26/09/1958 Midnight #26
30/01/1959 (All of a Sudden) My Heart Sings #10
10/07/1959 Lonely Boy #3
30/10/1959 Put Your Head on my Shoulder #7
26/02/1960 It's Time to Cry #28
21/04/1960 Puppy Love #33
15/09/1960 Hello Young Lovers #44
15/03/1962 Love Me Warm and Tender #19
26/07/1962 A Steel Guitar and a Glass of Wine #41

Billie Anthony 11 Oct 1932 – 05 Jan 1991 (58)
Wiki UK singer, allegedly born in the dressing room of a theatre in Glasgow, Scotland, her godmother was Gracie Fields
15/10/1954 This Ole House #4 Released as Billie Anthony with Eric Jupp and his Orchestra / Cover of a hit by Rosemary Clooney

Ray Anthony and his Orchestra 20 Jan 1922 – Living
Wiki American bandleader and trumpeter from Bentleyville, Pennsylvania, last surviving member of the Glenn Miller Orchestra
04/12/1953 Dragnet #7 Theme to the American television series Dragnet

Richard Anthony 13 Jan 1938 – 19 Apr 2015 (77) Le Monde obit
Wiki Egyptian-born French singer from Cairo
12/12/1963 Walking Alone #37
23/04/1964 If I Loved You #18

Aphrodite's Child
Wiki Greek progressive rock group, Demis Roussos and Vangelis both had successful solo careers, Vangelis died from COVID-19 in May 2022
Demis Roussos 15 Jun 1946 – 25 Jan 2015 (68) Guardian obit
Loukas Sideras 05 Dec 1944 – Living
Vangelis 29 Mar 1943 – 17 May 2022 (79) Guardian obit
06/11/1968 Rain and Tears #29

The Applejacks
Wiki UK beat band from Solihull, Warwickshire, Megan is the sister of Ray and Dave Davies of The Kinks
Martin Baggott 20 Oct 1947 – Living
Phil Cash 09 Oct 1947 – Living
Megan Davies 25 Mar 1944 – Living
Gerry Freeman 05 May 1943 – Living
Don Gould 23 Mar 1947 – Living
Al Jackson 21 Apr 1945 – Living
05/03/1964 Tell Me When #7
11/06/1964 Like Dreamers Do #20 Written by Lennon and McCartney and performed by The Beatles for their Decca Records audition
15/10/1964 Three Little Words #23

Charlie Applewhite 25 Nov 1932 – 27 Apr 2001 (68) FindAGrave memorial
Wiki American singer from Fort Worth, Texas, discovered by Milton Berle for his 1950s television show
23/09/1955 Blue Star (The Medic Theme) #20 Released as Charlie Applewhite with Victor Young and his Orchestra and Chorus

The Archies
Wiki American fictional band based on the television series The Archie Show, keyboardist Ron Frangipane died from complications of COVID-19 in April 2020
Session musicians:
Dave Appell 24 Mar 1922 – 18 Nov 2014 (92) Legacy obit
Gary Chester 27 Oct 1924 – 17 Aug 1987 (62) FindAGrave memorial
Ron Dante 22 Aug 1945 – Living
Sal DiTroia 02 Jan 1941 – 22 Jun 2007 (66) Mention of death
Ron Frangipane 26 Jul 1944 – 25 Apr 2020 (75) USA Today obit
Joe Mack (aka Joey Macho) 02 Sep 1921 – 02 Oct 1977 (56) FindAGrave memorial
Ray Stevens 24 Jan 1939 – Living
Toni Wine 04 Jun 1947 – Living
11/10/1969 Sugar, Sugar #1

Louis Armstrong 04 Aug 1901 – 06 Jul 1971 (69) NY Times obit
American trumpeter and vocalist from New Orleans, Louisiana, by 1930 he was the most successful black musician in the world, known as "Satchmo" or "Pops", inducted into the Rock and Roll Hall of Fame in 1990
19/12/1952 Takes Two to Tango #6
13/04/1956 Theme From the Threepenny Opera #8 Released as Louis Armstrong and his All-Stars
15/06/1956 Take it Satch (EP) #29 Released as Louis Armstrong and his All-Stars
13/07/1956 The Faithful Hussar #27 Released as Louis Armstrong and his All-Stars
06/11/1959 Mack the Knife #24 Released as Louis Armstrong and his All-Stars / This single is the above Theme From the Threepenny Opera under a different name
04/06/1964 Hello Dolly #4
07/02/1968 What a Wonderful World / Cabaret #1
26/06/1968 Sunshine of Love #41

Eddy Arnold 15 May 1918 – 08 May 2008 (89) Guardian obit
Wiki American country singer from Henderson, Tennessee, known as "The Tennessee Plowboy", a member of the Grand Ole Opry and the Country Music Hall of Fame
17/02/1966 Make the World Go Away #8
26/05/1966 I Want to Go with You #46
28/07/1966 If You Were Mine Mary #49

P. P. Arnold 03 Oct 1946 – Living
Wiki American singer from Los Angeles, California who moved to the UK in 1966 after touring as part of Ike and Tina Turner's group The Ikettes
04/05/1967 The First Cut is the Deepest #18 Cover of a single by Cat Stevens and later popularised by Rod Stewart
02/08/1967 The Time has Come #47
24/01/1968 (If You Think You're) Groovy #41
10/07/1968 Angel of the Morning #29 Cover of a single by Merrilee Rush & The Turnabouts and later popularised by Juice Newton

Johnny Arthey and his Orchestra and Chorus 24 Sep 1930 – 27 Oct 2007 (77) Mention of death
Wiki UK bandleader and composer from Merseyside
13/08/1964 The Wedding #3 Released as Julie Rogers with Johnny Arthey and his Orchestra and Chorus

The Association
Wiki American sunshine pop group from California
Ted Bluechel 02 Dec 1942 – Living
Brian Cole 08 Sep 1942 – 02 Aug 1972 (29) FindAGrave memorial
Russ Giguere 18 Oct 1943 – Living
Terry Kirkman 12 Dec 1939 – 23 Sep 2023 (83) Obit
Larry Ramos 19 Apr 1942 – 30 Apr 2014 (72) Ultimate Classic Rock obit
Jim Yester 24 Nov 1939 – Living
22/05/1968 Time For Livin' #23
NB: Haven't included Gary Alexander as it looks like he had temporarily departed from the band when they had this hit

Chet Atkins 20 Jun 1924 – 30 Jun 2001 (77) Rolling Stone obit
Wiki American guitarist from Luttrell, Tennessee, inducted into the Rock and Roll Hall of Fame in 2002
17/03/1960 Teensville #46

Winifred Atwell 27 Feb 1914 – 28 Feb 1983 (69) FindAGrave memorial
Wiki Trinidad-born UK pianist, wanted to have a career in classical music but ended up penning boogie style hits, owed much of her success to the tinny sound of a piano that cost 50 shillings (£2.50), later moved to Australia and died following an electrical fire at her home, first black person to have a UK #1
12/12/1952 Britannia Rag #5
15/05/1953 Coronation Rag #5
25/09/1953 Flirtation Waltz #10
04/12/1953 Let's Have a Party #2
23/07/1954 Rachmaninoff's 18th Variation on a Theme by Paganini (The Story of Three Loves) #9
26/11/1954 Let's Have Another Party #1 Released as Winifred Atwell and her "Other" Piano with Rhythm Accompaniment
05/11/1955 Let's Have a Ding Dong #3
16/03/1956 The Poor People of Paris #1 Released as Winifred Atwell and her Other Piano
18/05/1956 Port-au-Prince #18 Released as Winifred Atwell and Frank Chacksfield
20/07/1956 The Left Bank #14
26/10/1956 Make it a Party #7
22/02/1957 Let's Rock n Roll #24
06/12/1957 Let's Have a Ball #4
07/08/1959 Summer of the Seventeenth Doll #24
27/11/1959 Piano Party #10

Brian Auger and The Trinity
Wiki UK progressive rock band, formed in 1966 and dissolved in 1970
Brian Auger 18 Jul 1939 – Living
Phil Kinorra 20 Oct 1940 – Living
Rick Laird 05 Feb 1941 – 04 Jul 2021 (80) Obit
17/04/1968 This Wheel's on Fire #5 Released as Julie Driscoll, Brian Auger and The Trinity / Cover of a song by Bob Dylan and The Band

Frankie Avalon 18 Sep 1940 – Living
Wiki American singer and actor from Philadelphia, Pennyslvania, appeared in a series of beach/bikini movies as well as Grease (1978)
10/10/1958 Gingerbread #30
24/04/1959 Venus #16
22/01/1960 Why #20
28/04/1960 Don't Throw Away All Those Teardrops #37

The Avons
Wiki UK pop vocal trio, Elaine and Valerie are sisters-in-law
Ray Adams 1938 – Living
Elaine Murtagh 1940 – Living
Valerie Murtagh 1936 – Living
13/11/1959 Seven Little Girls Sitting in the Back Seat #3
07/07/1960 We're Only Young Once #45
27/10/1960 Four Little Heels #45
26/01/1961 Rubber Ball #30

Mitchell Ayres' Orchestra 24 Dec 1909 – 05 Sep 1969 (59) FindAGrave memorial
Wiki American orchestra leader and composer from Milwaukee, Wisconsin
07/02/1958 Magic Moments #1 Released as Perry Como with Mitchell Ayres' Orchestra & The Ray Charles Singers

Bob Azzam and his Orchestra and Chorus 24 Oct 1925 – 24 Jul 2004 (78)
Wiki Egyptian orchestra leader from Cairo
26/05/1960 Mustapha #23