The Beatles vs. The Rolling Stones

Fatparrot said it all; I'll take the Beatles, you can have the stones.
Until the Beatles, no one ever did anything like Eleanor Rigby, Nowhere Man, or Within You Without you.

Stones of course!!!

I agree 110% with Fatparrot - the Beatles were simply the most creative group and injected R&R with so much more than the Stones who were/are a great R&R band.

I must add the Yardbirds were easily the most tecnically competent group - incredible music that opened the door for more experimentation.

Fatparrot is correct. Imagine a history course on the last half of the 20th century. The Beatles would figure prominently on many levels while the Stones may get mentioned as influential musicians.
My kids and grandkids are familiar with Beatles music and can identify them when they hear them on the radio. Can't say the same for the Stones.