A bit of a tall order William as many were never seen again.
Anyway here goes for a few with more episodes than the others
Before your very eyes 52-58
Life with the Lyons circa 56-61
Alfred Marks Time circa 58 -61
Tony Hancock on ITV 57-58
Dick and the Duchess 57- 58 (not sure if it actually was a sitcom)
More to add to Peter Stirling's 5 above
A few have a brief synopsis, most need one please!
BTS is BBC Television Service and A-R is Associated-Rediffusion
1956
01 Double Cross BTS Jimmy Jewell Ben Warriss Jill Day
02 My Sister And I ABC Dinah Lee, Jane Taylor, Jack Howarth (yes Albert Tatlock)
03 Those Kids ABC P Butterworth Christopher Sandford
04 My Wife's Sister GRANADA Dora Bryan Eleanor Summerfield Colin Baker
05 Joan and Leslie ATV L Randall and Joan Reynolds Harry Towb
1957
06 Nathaniel Titlark BTS Bernard Miles Megs Jenkins
07 Three 'Tough' Guys ATV Warren Mitchell, Harry Green, Peter Welch
08 Scott Free BTS Terry Scott, Norman Vaughan, Wallas Eaton
09 Sheep's Clothing BTS Digby Wolfe, Ronnie Corbett
10 Highland Fling A-R Richard Hearne James Hayter Jean Bayless
1958
11 Educated Evans BTS Charlie Chester Jack Melford
12 Time Out For Peggy ABC Billie Whitelaw, Diana King
13 The Randall Touch ATV L Randall J Reynolds H Towb
14 Jennings At School BTS Mitch Mitchell Derek Needs
15 Educating Archie A-R Peter Brough Dick Emery Irene Handl
16 The Sky Larks BTS Anton Rodgers William Mervyn Misadventures of a Naval Helicopter Crew
1959
17 Tell It To The Marines A-R Alan White Ronald Hines National Service rivalry between RN and Marines
18 Don't Tell Father A-R Colin Gordon Julia Lockwood Screenwriter and daughter live on a Thames barge
1960
19 The Trouble With Harry H Worth, Paddi Edwards Misadventures of a mild and meek author, aunt and maid
20 A Life of Bliss BTS George Cole as David Bliss, Hugh Sinclair
21 The Rolling Stones ABC B Braden B Kelly Kim Braden
22 Don't Do It, Dempsey! BTS Brain Reece, Adrienne Corri
23 The Love of Mike A-R Michael Medwin Brian Wilde
24 Mess Mates GRANADA Archie Duncan Sam Kydd Ronald Hines
25 Fred Emney Picks A Pop BTS Pat Coombs
On Saturday 8/10/60 BTS became BBC tv
26 Bonehead BBC tv Colin Douglas Ian Gardiner Paul Whitsun-Jones
1961
27 Leave It To Pastry BBC tv R Hearne Margot Boyd
28 Three Lives Wires A-R M Medwin Bernard Fox George Roderick Misadventures of a Sales and TV Repair Shop
29 Winning Widows ATV Peggy Mount Avice Landone
30 Colonel Trumper's Private War GRANADA Dennis Price Warren Mitchell William Gaunt
1962
31 Brothers In Law BBC tv Richard Briers Colin Gordon
32 Bulldog Breed GRANADA Donald Churchill Amanda Barrie P Butterworth
33 It's A Living A-R Jimmy Jewell Ben Warriss Lance Percival Johnny Briggs
1963
34 Mr. Justice Duncannon BBC tv A Cruickshank Edwin Apps
35 Best of Friends ABC C Hawtrey Hylda Baker Cafe Proprietress helps next door insurance man
36 The Handy Gang A-R Reginald Marsh Johnny Hutch
37 Dial RIX BBC tv B Rix Elspet Gray
38 Bud ATV B Flanagan Jerry Desmonde
39 Tin Pan Alice GRANADA Athene Seyler Warren Mitchell
40 Yes, But Seriously BBC tv Tony Tanner Barbara Young
`1964
41 Just Jimmy ABC J Clitheroe Mollie Sugden
42 Room At The Bottom ABC Lionel Jeffries Wendy Craig
43 Foreign Affairs GRANADA Alfie Bass Bill Fraser Nicholas Phipps
44 A Little Big Business GRANADA David Kossoff Francis Matthews
45 Bold As Brass BBC tv Jimmy Edwards Beryl Reid
Monday 6 April A-R became Rediffusion London
Monday 20 April BBC tv became BBC1 and BBC 2
46 The Valiant Varneys BBC 1 Reg Varney Keith Buckley Children's sitcom
47 H.M.S. Paradise Rediffusion Frank Thornton Robin Hunter Richard Caldicot
48 A World Of His Own BBC 1 Roy Kinnear Anne Cunningham
49 Lance At Large BBC 1 Lance Percival Suzy Kendall
50 The Big Noise BBC 1 Bob Monkhouse Norman Rossington
51 Dave's Kingdom ATV Dave King Victor Maddern
1965
52 A Slight Case Of... BBC 2 Roy Kinnear Joe Melia Alfie Bass
53 The Airbase BBC 1 David Healy Alan Gifford Mitzi Rogers
54 The Bed-Sit Girl BBC 1 Sheila Hancock Derek Nimmo Dilys Laye
1966
55 The Vital Spark BBC 1 John Grieve Roddy Macmillan
56 Three Rousing Tinkles BBC 2 Pauline Devaney Edwin Apps
57 Foreign Affairs BBC 1 Leslie Phillips Ronnie Barker Relationship between Britain and the Russian Embassy
1967
58 Mr. Aitch Rediffusion Harry H Corbett Norman Chappell Gordon Gostelow
59 Four Tall Tinkles BBC 2 Pauline Devaney Edwin Apps
60 The Whitehall Worrier BBC 1 Robert Coote Moira Lister
61 Who Is Sylvia? ATV Kathleen Byron Charlie Drake
62 My Man Joe ATV Joe Baker Francis Matthews Geraldine Newman
63 Room At The Bottom BBC 1 Kenneth Connor Deryck Guyler Gordon Rollings Kenny Lynch
64 Vacant Lot ABC Bill Fraser Alfie Bass
65 The Reluctant Romeo BBC 1 Leslie Crowther Amanda Barrie
66 Sam and Janet ATV John Junkin Vivienne Martin Joan Sims
67 Sorry I'm Single BBC 1 Derek Nimmo Gwendolyn Watts
68 Baker's Half-Dozen ATV Joe Baker Toni Palmer Brian Murphy
69 A Series of Birds BBC 1 John Bird John Fortune
70 No - That's Me Over Here! Rediffusion Ronnie Corbett Rosemary Leach
71 The Very Merry Widow BBC 1 Moira Lister Donald Hewlett Sally Thomsett
1968
72 Mum's Boys BBC 1 Irene Handl Bernard Bresslaw Pete Murray
73 With Bird Will Travel ATV John Bird Carmen Munroe