List of Sonic Stores in Rockport, TX Outlet Note Regular Brands Sonic Texas Rockport Rating 4.5 based on 91 votes Official Website https://www.sonicdrivein.com/ Products Snacks Ice Cream Drinks Chicken Hot Dogs Burgers NameAddressPhone Name/Address/Phone Sonic Drive-In outlet - Rockport 1910 Highway 35 N (361) 729-9511 Sonic outlet - Rockport 1203 Highway 35 N (361) 729-8550 People Also Viewed