This is purely personal, I'm not restricted to any specific genres.
But I like it when bands play their own music, or when artists write their own songs, which is part of why I don't like the super-commercial, sampled R&B and "hip hop" of today - Chris Brown, Rihanna, 50 Cent, Jay-Z, etc.
I've nothing against hip hop or soul though, like some of the old Motown artists or Bone Thugs n Harmony for example.
Braindead metal like grindcore, speedcore, deathcore, black metal, death metal etc etc whatever doesn't interest me either. It's talentless and to me it smells like all they strive to do is upset conservative parents and scare their class mates by drinking blood or something. Cannibal Corpse for example, total shit IMO and I don't understand how people can enjoy listening to it.
Some thrash metal is cool though, but that too is a bit too... not music, for my taste.
Screamo and pre-pubertal emotional music is not my cup of tea either. Don't care much for the wussy "no one understands me" idea behind it all.
Noisy music too. Like punk music (not bands like The Clash, who's music is more rock IMO) and some instrumental music. I'm a big fan of Pink Floyd, but some of their tracks are just garbage made while tripping. Same thing goes for Jimi Hendrix, who had this weird fetish for distortion.
Basically, I like genuine music that has melody and is nice to listen to - what genre it belongs to matters very little to me
