Whataburger Eateries, Retail, Specialty Stores, AntiquesRestaurants & Fast Food Whataburger Visit Website 300 Concord Plaza Dr San Antonio, TX 78216 (361) 358-8454 About Map About Whataburger has focused on its fresh, made-to-order burgers and friendly customer service since 1950 when Harmon Dobson opened the first Whataburger as a small roadside burger stand in Corpus Christi, What's Nearby? Distance: 5 10 15 20 25 50 mi.