hm, does it count if the Stones played it but didn't record it?
timeisonourside.com lists Boys (in 63) and Twist & Shout (in 64) among numbers played by the Stones in concert.
neither of them are actually "Beatles songs", of course, but it seemed sort of relevant to this thread.
i bet those numbers sounded good in the Stones' fine hands.

"What do you want - what?!"
- Keith