If I had to choose, It would be the Beatles. The combination of songwriting by the Fab 4 is unmatched and 200 years from now they will be viewed as the Bach and Beethoven of their era. Lennon and McCartney especially were incredible and that is not to slight Harrison or Starr in anyway. This doesn't mean The Stones are not in the same league, I love them nearly as much but on pure talent all around, I'll take the Beatles to my grave.
Beatles vs. Stones
Which do you prefer?
I'd have to go with the Rolling Stones although I do love Revolver.
And you?