Some of the routines by Desi Arnez and Lucille Ball, on TV years ago, I still recall. Most of the shows did suffer from poor scripts, however.
"The Honeymooners" was great comedy, with great characters.
"Fawlty Towers" was excellent English comedy with a master at the helm. Another British hotel series is running now on cable, but I find it very second-rate. Can't remember the name.
"Last of the Summer Wine" was a British show I really enjoyed, but I don't know anybody else who liked it.

"The Vicar of Wakefield" is running on both PBS and BBCCanada at the moment- a few good bits, but not a show I go out of my way to watch.

To comment on something posted earlier, randy is common in U. S. as well as UK. A very old word, 17th c.
The main differences I see are the English uses of the plural- Army are, or Chelsea are, rather than Army is (American and most Canadians), and the placement of the main stress in some polysyllabic words.

Did the "Beverly Hillbillys" show in England? If so, what was the reaction? I thought it was rather tired comedy, but so much on TV is (was).
Is "Eastenders" popular all over the UK?