See all Museums in Mesa Mesa for: Adventure, Food And Dining, Art And Culture, Nightlife, Spa, History, First Timers, Family, Romance, Shopping Mesa Historical Museum Mesa Historical Museum, 2345 North Horne, Mesa, AZ 85203, USA About Mesa Historical Museum.[11]. 2345 N. Horne Street. This small museum features displays of the different phases of Mesa's history. Add to Wish List