I don't even know who most of the orignal artists are, so I'll just list the songs and the remake artists. Can't say if they're the best or not, but these are a few of my favorites:
"You Keep Me Hanging On"
-Kim Wilde
"Blue Monday"
-Orgy
"Shout"
-Disturbed
(And I actually know the original was made by Tears for Fears. )
"Tonight's The Night"
-Janet Jackson (~lovelorn sigh~)
"Killing Me Softly"
-The Fugees
*Rochelle.
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"I can teach you how to bottle fame, brew glory, even stopper death -- if you aren't as big a bunch of dunderheads as I usually have to teach."
-- Professor Severus Snape, Harry Potter and the Sorceror's Stone.