Mitchell and Webb are among my favorites. I especially liked Peep Show.
Blackadder's great, as is Only Fools, Fawlty Towers, Monty Python, anything with Vic Reeves, Armstrong and Miller, Flight of the Conchords, Rab C Nesbitt, Father Ted, Have I Got News For You, Live at the Apollo, and many other shows which I believe I may as well not name, as this list is shaping up to be pretty long.
And My Family is an unfunny piece of shit. At least one of the actors has stepped up from that and entered adverts instead. That's much better than acting for My Family.
EDIT: I also forgot QI and the recent Kingdom. Stephen Fry is always good for a laugh, as is Jack Dee who acted in an episode of Kingdom with Fry.