Jimmy Perry and David Croft were a writing pair whose work spanned the 60s through to the 80s.
Jimmy Perry was an aspiring actor who wrote a screenplay with himself as one of the characters. The BBC didn't want him to act, but they liked the idea so they teamed him up with David Croft. The first three comedies they wrote were based on Perry's life. When WW2 broke out he was too young to join the regular army to he joined the Home Guard.
Dad's Army is a comedy about the Home Guard a bunch of old men and young boys unfit for active service with the regulars. This is probably the most famous scene in which Captain Mainwaring argues with a group of German POWs.
As the war progressed Perry joined the regular army and was posted off to Burma where he worked in a concert party entertaining the troops. This became the second comedy
It Ain't Half Hot Mum.
Although v dated by today's standards, the main Indian role being played by an Englishman, it did give lots of Indian actors their first big break and they all speak very highly of it. Also the Englishman in question was a fluent Urdu speaker who had lived in India. Not the same league as the but buts of Peter Sellers, Spike Milligan and Apu from
The Simpsons.
After the war Perry worked as a redcoat at Butlins which became the inspiration for
Hi de Hi.
To be honest I didn't really like it very much, his writing took a dive and later forays in writing only tended to last a season before being cancelled.
https://en.wikipedia.org/wiki/Jimmy_Perry
Earlier on I mentioned how actors would be with either the BBC or ITV with very little crossover.
Dad's Army changed that, Arthur Lowe who played Captain Mainwaring was an actor from ITV and the BBC were reluctant to cast him but the writers got their way.