[21twelve]

https://www.youtube.com/watch?v=aOtbUAzoEfU

RUSH’s cover of Summertime Blues (live)

[Dr.Deth]

Maybe not a "better cover" but an interesting one-off:
Geddy Lee, Les Claypool & Sean Lennon - Tomorrow Never Knows (Beatles)

This is kind of a cheat, but White Comedian Paul Shanklin - Banking Queen