Vash Aurion wrote:R.E.M., but not the new stuff. Try out the albums Automatic For the People (key songs: Everybody Hurts, Nightswimming, The Sidewinder Sleeps Tonite), Murmur (key songs: Radio Free Europe, We Walk, Pilgrimage), and Lifes Rich Pageant (key songs: Fall On Me, Swan Swan H, Superman).
I certainly second this, and those are great albums to start with - or start with both their Best Of compilations covering 1981-1987 and 1988-2003 respectively if you want an overview. Though I think everything they've done barring Around the Sun is worth checking out. Wonderful band.