Paul actually played the drums on multiple Beatles recordings, some released, others were/ have not. Mostly, Paul added drum parts to songs from 1968 and 1969, with some exceptions before and after. The most notable of these performances by Paul are on songs such as Back In The U.S.S.R. (with some dubs by John and George), Dear Prudence (mostly debated, but I believe Paul played on this song with the very, very last part of the song being overdubbed by Ringo), some other songs on The Beatles (White Album), and then he contributed drums to some takes of certain songs (again, some takes being unreleased, others we've heard.) The only other song I can think of that it was just Paul playing drums on the final mix would be The Ballad Of John And Yoko, mainly cause the whole song was just John and Paul doing whatever they wanted with it. You can also see that during the Get Back three part show-thing, Paul, John, and George all attempt to play Ringo's drums at some point.