The Beatles and the Stones are in their own separate category. Who's old enough to remember when the Beatles first came out and went up against a group called the Dave Clark Five? Then they went up against the bad boys of British rock The Rolling Stones, and the rest is history. Divergent paths, and one still performs to this day.You forgot the world’s greatest Rock n Roll band BJR - the Stones. My wife is not a fan mainly because of Mick and their sometimes misogynistic lyrics but even she admits their music is very good. And what a body of work, dwarfs most of the other groups mentioned.
I agree with the moniker about the Stones being the world's greatest Rock n Roll band. Superb musicians and great music, and about 6 years ago, I finally got to see them live at Met Life Stadium, and they were great.