I have to agree with the majority of posters here and go with The Beatles; and echo the sentiment that it isn't even close. Musically, The Beatles were far, far superior to the Stones. Their music was so universally acknowledged that it touched the whole world. My friend's parents once told me about how they would, as children in their home country of Egypt, gather the neighborhood into the one home with a radio just to collectively listen to The Beatles being broadcast. I discovered this when my friend and I walked into his house to find his mother, who only listens to Egyptian music, singing along to Yesterday. My friend, as surprised as I, asked where she learned that song...
To be honest, I've never understood the popularity of the Stones. They're a decent band, but quite unoriginal in my estimation. They pretty much just play straight-ahead blues rock. I don't see any real innovation there at all. Their musicianship is passable, but also nothing particularly special(I've honestly seen more talented musicians playing jazz at the local coffee house). The songwriting is a bit bland and complexity is not to be found.:smirk: