Song covers that are better than the originals

Jeff Buckley covering Leonard Cohen's hallelujah.

From the last time this kind of thread went around:

Danny Gatton's take on Earle Hagan's "Harlem Nocturne", a song usually associated with Duke Ellington. IMHO, guitar playing doesn't get much better than this.

Don Dixon/Marti Jones' version of Joe Tex's "You Got What it Takes (To Take What I Got)". The sound of two singers in love/lust. (Dixon and Jones are married.) My wife and I used this one for our first dance.

Marty

John Cale - Heartbreak Hotel
Sid Vicious - My Way

Some lesser known covers

The Duhks - Love is the seventh wave.
The Red House Painters - All Mixed Up or Silly love songs

I prefer covers when they don't sound like the originals

If you like REM's version of Wichita Lineman, you ought to hear Cassandra Wilson's cover. Also, Stevie Ray's cover of Little Wing is amazing.