I usually watch romantic comedies (Full Metal Panic, Ranma 1/2, etc.) or comedies (FLCL, Lucky Star) with some action, horror/supernatural mixed in.
I'd also have to say The Melancholy of Suzumiya Haruhi and Inuyasha as they both got me into anime (and I've been an otaku ever since!).
Also would probably have to add Sayonara, Zetsubo Sensei