Let me preface this by saying this is just the tip of the iceberg, but you'll get the gist of my taste. And yes, some genres over lap. I don't need a lecture from music snobs.
alternative rock
(radiohead)
blues rock
(classic - Cream, Jimi Hendrix, Led Zeppelin, Allman Brothers; new - The White Stripes, The Black Keys, Jack White)
country funk
(cherokee)
electronic/a
(blackbird blackbird, apparat, tycho, trentemoller, chromatics, air, memory tapes, purity ring, burial, how to dress well)
folk/folk-rock
(a.a. bondy, nick drake, laura marling)
garage rock
(the kills)
gothic rock
(the cure)
grunge
(nirvana, pearl jam)
heavy metal
(black sabbath)
indie
(the radio department, zoo animal, angus and julia stone, cat power, the raveonettes, the horrors, grimes, the xx, mac demarco, elliot smith, cloud nothings, the antlers, deerhunter, grizzly bear, sparklehorse, polica, cold specks)
industrial
(nine inch nails)
new wave
(new order, freur)
post-dubstep
(james blake)
post-punk
(joy division)
progressive rock
(the mothers of invention)
psychedelic rock
(the doors, the zombies, pink floyd, tame impala)
rock
(queen, link wray)
singer/songwriter
(this list is way too long so I won't even bother)