Don't know if they are perfect, but here's some favorites.
Redemption Song- Bob Marley
Round Here- Counting Crows
Why Does Love Have to Be So Sad- Derek and the Dominos
Take Five- Dave Brubeck
At Last- Etta James
I Shall be Released- The Band
Nantucket Sleighride- Mountain
One Way Out- Allman Brothers
When I'm gone- Phil Ochs
Jimmy Newman- Tom Paxton
Blowing in the Wind- Dylan
and sadly to say, I really like, Two out of Three- Meatloaf
I like this list the most so I'll add here
Nas & AZ - New York State of Mind
Elliot Smith - Miss Misery
The Stranglers - Golden Brown
The Beatles - Eleanor Rigby
Gnarls Barkley - Transformer (Acoustic)
The Commodores - Easy Like A Sunday Morning
Big L - 98 Freestyle
Moby - Porcelin
Stealers Wheel - Stuck In The Middle With You
Gary Jules - Mad World
Styles P - I'm Black
Smokey Robinson - Tracks Of My Tears
Luther Vandross - If This World Were Mine
John Coltraine - Favorite Things
Curtis Mayfield - Pusherman
Nat King Cole - Unforgettable & The Very Thought Of You
Lauryn Hill - Killing Me Softly
Miles Davis - So What
Sean Paul - Deport Them (not perfect, but the best club song I can remember)
Bach - Toccata in D Minor (or anything)
There are a lot more that I can't think of, but thanks to everyone else...keep adding because I'm definately finding some new music through this.