Ask yourself this - can you imagine the world without the Beatles ?
Can you imagine the world without the Stones ? Er...frankly, yes.
Ok the Stones are one of the Top 5 bands of all time, but what cultural impact have they had. In my view, none. Sure they are good, and any band that stays together for 40 years deserves great credit, but they are not fit to tie the Beatles shoe-laces.
(By the way, My Top 5 bands of all time would be - Beatles, U2, Queen, Stones, Beach Boys)