Since I watch little television I was trying to recall what reality shows I ever watched. "This Old House", "Antiques Roadshow", "American Pickers", "Pawn Stars" and "Botched" came to mind. I tried watching "The Real Housewives of Orange County" maybe twice as I knew people who knew some of them but could not get into it. "Storage Wars" were faked as I know that business.
Here is a list of reality shows past and present:
List of reality television programs - Wikipedia