Branch BBQ is the best Austin BBQ restaurant and caterer in Central Texas. Opened in 1994, this family owned restaurant will travel anywhere in Central Texas to bring you the best BBQ and service! Call Us! Branch BBQ is the best BBQ restaurant and caterer in Central Texas. Opened in 1994, this family owned restaurant will travel anywhere in Central Texas to bring you the best BBQ and service. When our customers dine with us, they enjoy our friendly atmosphere coupled with a personal touch. Our cozy family BBQ offers you the Texas tradition of hot smoked meats, topped with a savory BBQ sauce and good old-fashioned sides like coleslaw, potato salad, mashed potatoes, corn and beans.