If you're into traditional Irish music, try Clannid.
That baked bean feller had a lot of good bands on his list. If you like My Morning Jacket, Deathcab, and Radiohead then you may want to check out these:
Wilco-A Ghost is Born FYI-the greatest concert(small arenas) band I have ever seen.
The Killers-Hot Fuss
Beck-Guero (though most any Beck CD will suffice)
More atmospheric sounds include:
Massive Attack-Mezzanine*already mentioned but worth repeating
Sneaker Pimps-Becoming X
(As an asides, 3B nice mentioning Jeff Buckley. Grace is hypotizing. Huge props