Just on Ringo, I have had so many debates about his ability with other drummers.
He is what I term a "melodic" drummer, not a title I could give any other drummer.
What I mean by this is listen to songs like Strawberry Fields, Hello Goodbye, I Am The Walrus etc and pay attention to his drum rolls, he kind of mimics the vocal melody and it just works so ****ing well. Listen to his drumming on Don't Let Me Down and Come Together, nothing technical, but gee it just works so well.
The other critical talent for a drummer to have is to be a good time keeper, and in this area he excelled. The Beatles did quite a few songs with tempo changes, such as She's a Woman and I Call Your Name, not only did he handle the tempo changes well, but he kept the rest of the band right on time.
And he really developed a style of his own.
Anyone who doesn't think he is an excellent drummer knows a total of nothing about great drummers.
As for jazz, jazz drummers are insanely good.
Just listen to some solos from Gene Krupa, Buddy Rich and Louis Bellson
If you want to hear a young guy that is one incredible current drummer, have a listen to this guy.
Greyson Nekrutman