Some information, I'm sure there is more
Wikipedia states:
According to the FAA there are 10 privately owned F-104s in the U.S. The Starfighters, a civilian demonstration team in Florida, operates three ex-Canadian Military CF-104 Starfighters (1 CF-104D and 2 CF-104s). Another, 5303 (104633), civil registry: N104JR is owned and operated by a private collector in Arizona.