Remakes of classic songs that surpass the original?

Johnny Cash 'Hurt'
Jimi Hendrix 'Along the Watchtower'

I don't know if you'd consider this a remake since it was never recorded, but back in the mid to late 70's, Bruce Springsteen used to do a live cover of The Animals' It's My Life, accompanied by a four to five minute story about his father.

Here's one such version from New Year's Eve, 1975 … https://youtu.be/wHv_msPx6Po

https://www.youtube.com/watch?v=FJLOr8S2d2E

Straight No Chaser's "All About That Bass."
https://www.youtube.com/watch?v=VKCADSIUKfI

Manfred Mann's version of Bruce Springsteen's Blinded by the Light

Beck's version of The Korgi's Everybody's Gotta Learn Sometime

Bobby Fuller Four's version of "I Fought the Law."

Granted, this isn't the Stones most classic song, but the Toots and the Maytals version of "Start Me Up" blows the original out of the water.

https://www.youtube.com/watch?v=50BTiGzuRSg

EDIT: I can't believe I forgot to mention this one. "Louie Louie" by Don and the Goodtimes.

https://www.youtube.com/watch?v=Bol7TSYiGEw

For those who may not know The Kingsmen version was not the original. It was written by Richard Berry.

https://www.youtube.com/watch?v=z-2CKsaq5r8

Berry in turn was inspired by the opening riff from this song

https://www.youtube.com/watch?v=-zo-44fLy_4

amen - they ripped that thing