I listen to music from acoustic, folky, bluegrassy stuff to electronic, ambient, sort of poppy stuff. I like stuff with a lot of dynamic range and rhythms, but not stuff with over-powering bass (no dubstep, Daft Punk is too pounding for me, etc). Some of the stuff I have been listening to a lot lately is Punch Brothers (anything by Chris Thile), Radical Face, The Civil Wars, The Head and the Heart, The Goat Rodeo Sessions (the more acoustic end) to Dawn of Midi, Electric President, The Shins, Cloud Cult, Vampire Weekend, Explosions in the Sky, etc.
I like solid bass, but not over-powering. It should be balanced, not pounding, but present