Bon Jovi have done some great B-side and demos. I'm not sure these are all b-sides but they are unreleased songs unless you count the box set.

Starting All Over Again
Good Guy Don't Always Wear White
Edge Of Broken Heart
Radio Saved My Life Tonight
Fields Of Fire
Back Door To Heaven
Love Is War
Neurotica
Standing
Dirty Little Secret
Temptation
Why Aren't You Dead
Rosie
Let's Make It Baby
Cadillac Man
Love Hurts