Actually, "Out of Our Heads" is the first Rolling Stones album to actually feature the Rolling Stones. Prior to that all music attributed to the band was created as a side project by Paul McCartney who played all the instruments, including drums and sang all the vocals. When Paul got tired of the side gig and wanted to devote all his energy toward the Beatles the record label hired a bunch of non-musicians who looked like rock stars to basically be the Rolling Stones. Charlie Watts unique drum style is the result of him trying to sound like McCartney, a non-drummer, playing the drums. The funny thing is that over time the Rolling Stones actually became a pretty good band.
Some people also think it was really McCartney on the early Led Zeppelin. That sound far fetched to me, but it's possible.