I also like a little bit of everything. Generally, I dislike musicals, but there are even a couple of those that I like. That said, I do have favorites, and I think it breaks down a bit like this:
fantasy=horror=sci-fi>animation>drama>thriller>action>comedy>musical
You can break it down even further from there. I'm more likely to enjoy a martial arts action film than I am one with machine guns. I like comedy as a flavor in other genres, but not so much on its own. But any movie with a dragon, a ghost or a spaceship I will love. By extension, a movie about chainsaw-wielding ghost dragons from space would probably be my favorite thing ever!