I'll chime in, here are some of my favorites

U2 (still one of the best live shows you can see)
Arcade Fire (remind me of a young U2, very raw)
David Bowie (often copied, never even close to the original)
Ween (crazy brothers who f*cking Rock)
Aphex Twin (insane techno, completely original sound)
The Beatles (still such good music)
Beastie Boys (still love em)
Air (french electronic group)
Beck (so Funky man)
Atmosphere (Minneapolis hip-hop that's damn good)
The Cure (Disintegration and Wish are still some of the best albums I've ever heard)

There's more......