A Note on the Log. I've used the London dates and added footnotes where episodes were first broadcast in the Midland Home Service. There was one not uncommon situation where the same episode is listed three weeks apart. I take that as meaning this episode was postponed (and what went out in its place is unknown). I couldn't find 1/6 - maybe it was only in the Midland Home Service; maybe it didn't happen.
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First Series.      Mondays, Home Service, 7.00pm - 7.30pm.

1/1     15-02-1954  The Gentleman Vanishes.
1/2     22-02-1954  Bank Robbery.
1/3     29-02-1954  Held To Ransom.
1/4     08-03-1954  Death Insurance.
1/5     21-06-1954  A Slight Case Of Suicide.
1/6     ?
1/7     15-03-1954  The Last Bus Home.
1/8     28-06-1954  Dangerous Heights.
1/9     05-07-1954  A Shot In The Dark.
1/10   12-07-1954  A Case Of Diamonds.
1/11   19-07-1954  Small Hotel.
1/12   26-07-1954  Portrait In Oils.
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Second Series.    Fridays, Home Service, 7.00pm - 7.30pm.

2/1     29-07-1955  Theatre Visit
2/2     05-08-1955  Tea For Two
2/3     12-08-1955  Frozen Asset
2/4     19-08-1955  Fire Escape
2/5     26-08-1955  Case For The Crown
2/6     02-09-1955  Farming Problem
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Third Series.    Mondays, Home Service, 7.00pm - 7.30pm

3/1     16-01-1956  Dead Cert
3/2     23-01-1956  The Man On The Flying Trapeze
3/3     30-01-1956  Bad Business At The Box-Office
3/4     06-02-1956  The Last Post
3/5     13-02-1956  Black Magic
3/6     20-02-1956  Back From The Dead
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Fourth Series.    Tuesdays, Light Programme, 8.30pm - 9.00pm (4/1 to 4/3), 9.30pm - 10.00pm (4/4 to 4/6)

4/1     10-09-1957  Crash Dive
4/2     17-09-1957  Forced Landing
4/3     24-09-1957  Out For The Count
4/4     01-10-1957  Fortune Teller's Lament
4/5     05-11-1957  Death Of A Leading Lady [postponed from 8-10-1957]
4/6     15-10-1957  The Gentleman In The Lake
Notes: (4/1 to 4/3 first broadcast on Wednesdays 29-5-1957 to 12-6-1957 in the Midland Home Service; series continues until 17-12-1957 with repeats of 2/1, 2/2, 2/4, 2/5, 3/1, 3/2, 3/3, 3/5)
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Fifth Series.    Wednesdays, Light Programme, 8.00pm - 8.30pm

5/1     25-02-1959  Bomb Happy
5/2     04-03-1959  Hospital Case
5/3     11-03-1959  A Scandal For School
5/4     18-03-1959  Shock Tactics
5/5     25-03-1959  Camera Shy
5/6     01-04-1959  repeat of 2/3
5/7     08-04-1959  repeat of 2/6
5/8     15-04-1959  repeat of 3/6
5/9     22-04-1959  Sally In The Alley
5/10   29-04-1959  One Man's Meat...
5/11   06-05-1959  Affair At A Fair
5/12   13-05-1959  Music At Midnight
5/13   20-05-1959  Fallen Angel
(5/1 to 5/5 first broadcast on Saturdays 22-11-1958 to 20-12-1958 in the Midland Home Service)
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Sixth Series.    Wednesdays, Light Programme, 8.00pm - 8.30pm
6/1     24-02-1960  The Gamblers
6/2     02-03-1960  Woman In A Ditch
6/3     09-03-1960  The Diving Statue
6/4     16-03-1960  The Man Who Collects Toy Soldiers
6/5     23-03-1960  Slippery Sam
6/6     30-03-1960  Bullet In A Bull
6/7     06-04-1960  Caustic Criticism
6/8     13-04-1960  The Writing On The Wall
6/9     20-04-1960  Dead Reckoning
6/10   27-04-1960  The Man In The Lift
6/11   04-05-1960  Midnight Murder
6/12   11-05-1960  Left-Hand Threat
(6/1 to 6/4 first broadcast the previous Friday in the Midland Home Service; 6/12 first broadcast on Friday 18-3-1960 in the Midland Home Service; 6/5 to 6/11 repeated the following Friday in the Midland Home Service)
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Seventh Series.    Wednesdays, Light Programme, 8.00pm-8.31pm

7/1     07-12-1960  Snake In The Grass
7/2     14-12-1960  The Man In The Sack
7/3     21-12-1960  Wage Snatch
7/4     28-12-1960  Top Brass
7/5     04-01-1961  Into The Pit
7/6     11-01-1961  Hard To Swallow
7/7     18-01-1961  State Of Anxiety
7/8     25-01-1961  Typist's Error
7/9     01-02-1961  Knife In The Back
7/10   08-02-1961  The Writing On The Cheque
7/11   15-02-1961  Death In The Afternoon
7/12   22-02-1961  The Reluctant Spendthrift
7/13   01-03-1961  Missing On Voyage
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Eighth Series.    Tuesdays, Light Programme, 8.31pm-9.00pm

8/1     03-07-1962  The Case Of The Unpopular Uncle
8/2     10-07-1962  The Case Of The Angry Actress
8/3     17-07-1962  The Case Of The Suicidal Widower
8/4     24-07-1962  The Case Of The Empty Chimney
8/5     31-07-1962  Runaway
8/6     07-08-1962  The Rembrandt Touch
8/7     14-08-1962  Poison In The Afternoon
8/8     21-08-1962  Action For Libel
8/9     28-08-1962  Murder In The Mediterranean
8/10   04-09-1962  The Fallen Angel  [different from 5/13]
8/11   11-09-1962  The Case Of The Frightened Schoolgirl
8/12   18-09-1962  Crime After A Fashion
8/13   25-09-1962  The Case Of The Unrepentant Sinner
8/14   02-10-1962  Go West, Young Man
8/15   09-10-1962  Kidnap Threat
8/16   16-10-1962  The Case Of The Explosive Record Player
8/17   23-10-1962  The Case Of The Good Time Girl