Here's some material that is out there:

New Jersey Rehearsal Demos: Rosie, 99 in the Shade, Backdoor to Heaven, Bad Medicine, Love is War, Judgment Day, Wild is the Wind, In America, Living in Sin, Love Hurts, Blood on Blood, I'll Be There for You, Born to Be My Baby, Stick to Your Guns, Homebound Train, Diamond Ring (electric version), House of Fire, Let's Make it Baby

New Jersey Studio Outtakes: Love is War, Let's Make it Baby (X-rated talkbox version), Judgment Day, River of Love (Come Alive), Now and Forever, Growing Up the Hard Way, Does Anybody Really Fall in Love Anymore?, Rosie, Homebound Train, Wild is the Wind, Living in Sin, Blood on Blood, Backdoor to Heaven, Love Hurts, Stick to Your Guns, Love for Sale

Could Cadillac Man be considered a NJ track? Doubt it, but...

RUN