I really never noted the Beatles for drumming at all. Funny how some people get it and others don't - I certainly don't get it with Ringo - but I agree he is superb but is he remarkable? Melodies seems to stand out most in my mind coupled with rather simple back beats/fills.
The Stones, however, that is a for sure rhythmical blues/funky stuff. Charlie does a great job, IMHO. I reckon funk/blues and swing is real tricky on timing - just listen to David Garibaldi the "groovemaster" on Tower of Power, Wesley Finley of Rebelution, Keith Harris Black Eyed Peas, Steve Jordan or Steve Ferrone. To me each of these drummers give the music a lively "light" feel or touch - an ability that contrasts with heavily technical drummers like Neil Peart/Buddy Rich/Keith moon which seem to pound thinsg out metronomically...just two cents.