There's also a "Wide Awake" by Audioslave, and plenty of other "Closer", the ones coming off the top of my head right now being Nine Inch Nails and Travis.
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I found a big one.
"Hold On" was sung by 17 different artists, and each one was different. Here's a list of who done it.
Wilson Philips
Santana
En Vogue
Wild Cherry
Good Charlotte
Triumph
Kansas
The Rascals
Badfinger
The Jonas Brothers
Donny Osmond
KT Tunstall
Jamie Walters
Ian Gomm
Sons of Champlin
The Radiants
Ed Townsend
http://www.youtube.com/watch?v=9ZvYSKK18-Y
http://www.youtube.com/watch?v=iJTUSrgWW5Y (this one's actually in RB)
Pretty sure Korn has a song called "Hold On" too...
EDIT: yup, they do
And so does Limp Bizkit and it's actually a pretty decent song, probably because of Scott Weiland being in it.
Does it count if it's one letter off? Because I have Miss You by the Rolling Stones and I Miss You by Bjork and Blink-182.
I'm The One - Van Halen, Seether, Mary J. Blige, Static-X, Drake, Danzig, Chamillionaire (lol), and of course, The Descendents.
Alabama Shakes have a Hold On also.