Texas Chili -What is the official dish of Texas? You guessed it. Chili con carne. Chili originated from San Antonio Texas where in the 1880′s Mexican American women sold it from stands. Texas chili may or may not have beans, and this one doesn’t. Many Texans will swear that a true Texas chili shouldn’t have legumes of any sort. Some Texas chili recipes do not have tomatoes, but a broth created from a blend of chile peppers.