1.) Father Ted
2.) Coupling
3.) Mr. Bean
4.) Black Adder
4.) As Time Goes By
5.) Waiting for God
6.) Keeping Up Appearances
7.) Are You Being Served?
8.) Monty Python
9.) Fawlty Towers
10.) The Inbetweeners
11.) My Family
12.) Barbara
13.) My Hero
14.) The Vicar of Dibley
15.) Red Dwarf
You could give Noel Fielding's Luxury Comedy a go, if you enjoyed The Mighty Boosh. I'm not sure how it compares, and reviews have been mixed, but it's one to add to the list, I guess?
Brass Eye (though I see that's been mentioned already)
If you liked Brass Eye then you'll also like the radio show On The Hour and the TV show based on it, The Day Today. They're a parody of news programs and very funny.