Shoppers here are finally discovering a grocery store that actually makes big savings possible, and my fridge has never looked so proud. Arizona’s Largest Liquidation Grocery StoreFew grocery stores come with a title this bold, but American Discount Foods earns it fair and square. Proudly holding the crown as Arizona’s largest liquidation grocery store, this Mesa institution has been serving savvy shoppers since 1992, making it a true pioneer in the discount grocery world. Incredible Product Variety That Covers Every AisleCalling American Discount Foods a one-stop shop might actually be an understatement. Many shoppers have made American Discount Foods their very first stop before heading anywhere else for groceries.