My favourites, and endlessly rewatchable British comedy includes:
Yes, Minister
Yes, Prime Minister,
Red Dwarf,
Bottom,
Blackadder,
Only Fools and Horses,
Dear John
Chalk
Duty Free
Fawlty Towers
Dad's Army
Also like a few others mentioned above, such as To The Manor Born and As Time Goes By. Never got on with Little Briton though, I dislike catchphrase based comedy as it tires quite quickly.