Here are two gems from 1970 by Alex Chilton (the former lead signer for the Box Tops). Very few artists even attempt to record covers of early Rolling Stones originals because of the obvious. How do you improve upon a masterpiece?
Alex Chilton sure gave it a try with his rendition of "Jumpin Jack Flash" recorded in 1970. Nothing can ever best the Stones, especially when it comes to a Jagger-Richards original but Alex sure put his heavy psych stamp on it and it was awesome.
Here's another classic Alex Chilton cover released in 1970 as he puts his psychedelic spin on the Billboard #1 rock single from 1969. Awesome!