I don't like the really popular new music like Ke$ha or Justin Bieber, but I like the bands that aren't as well known like My Chemical Romance and Kill Hannah. But I also really like old bands like Blink 182, Smashing Pumpkins, and Red Hot Chili Peppers. :>
In my theory class, we're currently learning about chance music, electric music, and eclectic music. It's interesting. Electronic music tends to sound like it belongs in a horror movie (Subotnick's Silver Apples of the Moon and Crumb's Black Angels in particular), but it's still very interesting.
But I also like modern or new music. English bands from the 90s like Good Charlotte and Green Day, or people like Ben Folds.
Then there's Lady Gaga, Katy Perry, Ke$ha.They're not so bad -- maybe not my favorite, but still catchy and entertaining.
And of course my favorites -- German, Korean, and Japanese pop, rock, and alternative, most of which are comprised of groups created within the past five years.