Dream On by Aerosmith
Patience by Guns N' Roses
Ride On by AC/DC
Who'll Stop The Rain by Creedence Clearwater Revival

My Reply - The Ataris
Brick - Ben Folds
Guernica - Brand New (Plus a bunch of their other songs)
Sydney - Halifax
Lullaby (Hammers & Strings) - Jack's Mannequin
You're Not Alone (piano version) - Saosin
Jumper - Third Eye Blind

I have a lot, this is the abbreviated list. A lot songs have a few lines or a verse that means something to me just because of the events in my life, though I doubt that they would be interpreted the same by another.