As someone roughly the same age as you and who also didn't listen to music from about 1980 to 1995, I've discovered there isn't much out there currently that I'm all excited about. My peek outside the cave only happened about five years ago, so are the sounds that I've discovered since then that I sorta like (this are only groups, not particular songs):

Nickelback
Barenaked Ladies
New Santana albums
Red Hot Chili Peppers
Dido
Rufus Wainwright
Nina Simone (heh, don't *even* laugh at me...I didn't discover her till I saw "Point of No Return."
Dar Williams

Let me know if you discover you like any of these. :)