In my admittedly less-than-humble opinion, the best Stones tune (and therefore the greatest tune ever--there's room for argument, of course, about which Stones tune is the greatest tune ever):
For me, this beats the shit out of any Beatles tune--and really, that's what The Beatles did: tunes. "Tumbling Dice" is a rock tune like nothing The Beatles ever did (or were capable of). The Stones were/are a band and, frankly, The Beatles were not. Where are the great Beatles jams? There are none. None. Ringo was the best Beatle.
Charlie will forever be the best Stone.