Personally I feel like music is not a zero sum game. I've gone through phases where I've liked the Beatles more than the Stones than vice versa. But, because it is fun to choose I'd say I'm definitely a larger Beatles fan. The Rubber Soul, Revolver albums are some of my favorite of all time, and while the Stones have Exile on Main St. which is also one of my favorites.
They are both undeniably great bands and one can easily argue which one is better but why bother.