What kind of ride you looking for?
If you want a long ride you can ride Salt River Canyon and do the loop through Payson. Another ride that has some distance is taking 60 to Wickenburg the 89 through Prescott and the taking 89A through Mingus Mtn to Jerome.
There are the medium rides, Prescott, Bagdad, Globe.
Then there are the shorter rides, Bartlett, Canyon Lake, South Mountain.