I thought I'd quickly jot down my favorite TV shows by genre.
Battlestar Galactica, Homeland, Buffy the Vampire Slayer
30 Rock (seasons 1-2), Scrubs (seasons 1-4)
Alias (action/espionage/drama, season 1), Chuck (action/espionage/comedy, seasons 1-2), Firefly (western/comedy/drama)
Bones (seasons 1-2)
Note: I realize my categories are a little subjective. You could call Battlestar Galactica a military science fiction show, Homeland a spy show, and Buffy the Vampire Slayer a fantasy vampire show. So they could also be called genre shows. But these three shows use the genre merely as a context to drive intelligent storytelling and provoke strong emotions in the characters. So I still call them dramas.