Cover songs that are better than the originals.

There is an active thread about terrible cover songs so I thought I'd start one about cover songs that are better than or have completely eclipsed the originals. I'll start:

Randy Newman wrote Momma Told Me Not to Come for Eric Burdon who recored it with the Animals and Newman recorded it too. I have the Newman version and like it but Three Dog Night really seem to capture the mood of the song best in my opinion.