I like any music where the guitar is a main instrument, so Blues, some Jazz, etc other than that I rarely venture outside the rock/metal territory. Plus, I don't consider rap a music because there's hardly any music going on there and when there is then it's not a high quality music. Also, I don't like electronic types of music like techno or other where the sound relies on music produced by unconventional 'instruments' or computers/programs/etc.

So whenever I have a choice not to listen to what I don't like (even some metal genres/bands) I don't listen to it, but also there are situations when you can't choose what kind of music is played and then I can 'survive' almost anything.