Get free-spinning bolt out of TV?
Is there a tiny bit of space between the bracket and the tv?  If so I'd use a hacksaw to cut through the screw and remove the bracket.  If space is really tight, try removing the blade and using it with your hands.

After that, you'll have to see what you are working with.  If you are lucky, maybe you can get some epoxy or glue around the bolt inside of the TV to freeze it and then use locking pliers to remove the rest of the screw or drill it out.