There are two local circulator routes in Mesa that will help you extend your exploration of the East Valley.
The M Link goes along Main Street from the last Light Rail Station all the way to Power Road. You can look at the M Link schedule BY CLICKING HERE.
The A Link handles those wanting to venture more to the south. It goes from the last Light Rail Station to Country Club Drive (or Arizona Avenue) and then will take you all the way to Chandler. The A Link schedule can be viewed BY CLICKING HERE.
You can explore more about the Link System overall BY CLICKING HERE.