Rock drummers like to tout their Jazz-influenced chops (basically knowing the rudiments), but Mitch Mitchell actually put his to good use (saw him live twice). A current guy doing the same is Steve Gadd.
Earl Palmer is best-known as the drummer on early Rock ’n’ Roll hits by the likes of Little Richard (as well as a lot of Pop studio work, including on Phil Spector recordings, even Frank Sinatra), but he considered (R.I.P.) himself a Jazz musician (he came out of New Orleans). In his last days he had a trio that played in the bar at the steak house (now shuttered) directly across the street from the NBC studio in Burbank where the Tonight Show is filmed. I and a lot of other locals sat in the bar to watch a master at work. My house was two blocks away, so I could walk there.