Giant Eagle 17887 Southpark Ctr, Strongsville, OH44136 Giant Eagle has been serving communities since 1918. Strongsville's store is easy to access, located right by the…More Southland Mall. There is a liqour store, beer cooler and wine area. A pharmacy, dry cleaners, bank, ticketmaster, photo lab, lottery, bake shop and red box dvd kiosk are also available. For those with young children, there is an Eagle's Nest to care for them while you shop.