This is hard to decide really... I think it's much easier to say that I don't like much of: rap, country, hip-hop, and some kinds of metal that just inundate my ears with sound (like Slayer) because that actually makes me feel nauseous. I also don't listen to much pop, but I don't really try to avoid it either unless I hear it all the time and want to escape.
Then, aside from those I listen to all kinds of things. The only real pattern I notice is that most bands I like are European, with only a few from North America and barely any from the rest of the world.