Too many examples to name, but...
Under My Thumb - Stones
Knocking on Heaven's Door - GNR
Police and Thieves - The Clash
....to name but 3.
The Clash and GnR songs are not a patch on the originals.
If you remember the original of a song, is a cover version ever as good as the original in your eyes ?
As much as I like the Paloma Faith cover of Never Tear Us Apart, it just made me listen to the Original.
I normally prefer an original to a cover version but Phil Collins version of "you can't hurry love" is way better than Diana Ross's original.
The Clash and GnR songs are not a patch on the originals.