I'll be back later with my list, but for now:
[quote name='LinkinPrime']Send Me An Angel originally by The Petshop Boys, covered by Thrice
[/quote]
"Send Me An Angel" is a Real Life song, not a Pet Shop Boys song. To the best of my knowledge (and I'm a pretty ravenous PSB fan) they've never covered that song.
[quote name='anomynous']Personal Jesus, originally by Johnny cash, covered by Marilyn Manson.[/quote]
"Personal Jesus" is a Depeche Mode song, not a Johnny Cash song. Cash does a mean cover of it, but it's not his song.
[quote name='Brak']Faith No More's cover of The Commodore's "Easy".[/quote]
Yes.
[quote name='javeryh']Failure's cover of that song ["Enjoy the Silence"] is the best ever hands down.[/quote]
Indeed. Exceeds the power of the original...and I loves me some Depeche Mode.
[quote name='thekeybladewars']Eleanor Rigby from The Beatles covered by Thrice! [/quote]
Godhead does a great electro-goth version of this, as well. Such a sad song.