Every four years, Texas Monthly releases its best barbecue list, detailing which eateries are must-tries for brisket, ribs and pulled pork alike throughout the state. Here are the 10 Austin-area spots that made the list. 1. Franklin Barbecue. The much-acclaimed barbecue restaurant is home to the “finest brisket” that celebrity chef Anthony Bourdain has ever had. It is ranked as the second-best barbecue Texas has to offer on Texas Monthly‘s list. 900 E. 11th St., Austin. 512-653-1187.