Neil Peart.
Being a drummer, I see the merit in all of the talent mentioned, except Ringo maybe ;^), but Neil Peart amazes me. If you look at the recorded (or live) body of work he has produced, it doesn’t hinge on an overly specific and narrow stylistic preference or particular skill. Across all of his work and over more than 4 decades, he has consistently been THE greatest rock drummer in my mind.
Our family of 5 have gone to many, many Rush concerts, and nobody inspires "air drumming" like Neil.
That being said, I’d also like to drop an honorable mention for Terry Bozzio. Love the drums in US Drag.