List of Sonic Stores in Cleburne, TX Outlet Note Regular Brands Sonic Texas Cleburne 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 - Cleburne 606 N Main St (817) 645-0061 Sonic Drive-In outlet - Cleburne 1709 W Henderson St (817) 641-8700 Sonic outlet - Cleburne 1709 W Henderson St (817) 641-8700 Sonic outlet - Cleburne 604 N Main St (817) 645-0061 People Also Viewed