I like Indie rock, folk, techno, music that mixes a bit from every genre. Some of my favourite bands are:

The Polyphonic Spree
Neutral Milk Hotel
The Flaming Lips
Postal Service
Kimya Dawson and
The Moldy Peaches
The New Pornographers
Devo
Tegan & Sara
Billy Bragg & Wilco
Pavement
RJD2
Stars
Violent Femmes
Yo La Tengo
Le Tigre
Air
Aesop Rock

I also like just rock, reggae, and other mainstream bands, like:

Live
Radiohead
Foo Fighters
Blind Melon
Hole
Interpol
Bush
Nirvana
Smashing Pumpkins
Primitive Radio Gods
Sublime
The Strokes
U2
REM
System of a Down
Rage Against the Machine
Rancid

ANd I like much opera and classical music.