Here are The Rolling Stones live in 1963 and 1964 they don't sound better or even as good as The Beatles live then. They aren't even rocking.
https://www.youtube.com/watch?v=NV62UcqbcQA
https://www.youtube.com/watch?v=Wfj1O_fApvA
https://www.youtube.com/watch?v=KV241mctbg0
Here is The Rolling Stones in 1963 performing the cover Roll Over Beethoven.
https://www.youtube.com/watch?v=64GbValI_To
Here are The Beatles also performing Roll Over Beethoven in 1964,and clearly their version is more rocking and better!
https://www.youtube.com/watch?v=0rLci6tPOtY