I agree about the Stones. Go to any Juke Joint and the number of Stones songs on the Juke Box will way out-number any Beatles. As for Beatles being a ROCK band, I say no. They were originally a Bubble-gum group who later went into Sgt. Peppers originality. I give them credit for that, but what Juke Box doesn't have "Honky Tonk Woman" as opposed to "Day in the Life" or "Love Me Do"?
Once the Stones started writing their own songs, very litte can compare with "Gimme Shelter" or "Brown Sugar" or even many on "Aftermath" with Brian Jones. Jagger and Richards were on the cutting edge of real RnR while the Beatles were still doing pop music for the teens. Sorry, "Gimme Shelter" was after the Beatles breakup. The intro to that song is just plain haunting. It has been used in numerous movies. It's my favorite Rock song of all time.
Stones over Beetles six ways from Sunday
You do know that Lennon and McCartney wrote the Stones first British hit, “I Wanna Be Your Man”, right?
That’s actually one of the cool things about the 60s, is that bands may have been rivals, but they also worked together.
Here’s a perfect example.
The Dirty Mac - Yer Blues
https://www.youtube.com/watch?v=JeFwaWFTGYU
I call Keith Richards the riff mmaster.He isn’t the greatest guitar player in the world but the Stones music overflows with great riffs and hooks. I’ve seen video of Keith playing the piano and he’s really good at that too, amazingly.