I have
Need For Speed: Carbon
Need For Speed: Hot Pursuit
Need For Speed: ProStreet
Need For Speed: Shift
Need For Speed: Shift 2 Unleashed
There was one game I borrowed from my son, cannot remember the name now, and the radio was brilliant. One of the tracks was "Black Betty", by Spiderbait. Fell in love with that track.
I only have an Xbox 360, but would love the new Xbox. problem is, wheels for the One are third party, and very expensive.
Never tried GT. Wrong format for me, but I believe it is very similar to Forza.