Man, I started the thread because I thought that there would be some pretty great discussion of each band's musical impact and quality. Now it's just turning into a Beatles appreciation thread. I'm okay with that though, The Beatles are awesome.
The Rolling Stones had some good songs in the 60s: Paint It, Black, Jumpin' Jack Flash, Satisfaction, etc. But they've pretty much written the same song over and over again since. I did like that new one Doom and Gloom, though, despite being pretty familiar in style.
The Beatles had a much shorter career so they never had the chance to screw up like a lot of bands did (a lot of their solo material was disappointing though). Their high points were way higher than the Stones'. I like both the early and later Beatles about equally. They had an extra energy that a lot of bands at the time were lacking.
Did you know one of the Rolling Stones' first hits was I Wanna Be Your Man...A BEATLES SONG?!?!?! (actually, the stones released it first, but it was written by lennon/mccartney)
Oh, and Elvis was great.