Creature Comforts/Wallace and Gromit anyone? Anything Aardman I suppose, although the Were-Rabbit one seemed to suffer terribly from a Hollywood influence, in my opinion...
Both Family Guy and The Simpsons were fantastic back in their day but over time they both have lost some of their charm for me. Family Guy seems to have become too self indulgent, being offensive just because they can be, and The Simpsons has fallen apart altogether really.
Maybe I'm being controversial here, but I always thought South Park was the nastiest of the shows and therefore never really got into it...