1121 S Western Ave
Time Out says
Having opened in 1923, El Cholo is Los Angeles' oldest continuously operated Mexican restaurant, and it probably hasn't been at the cutting edge of cuisine for something like 80 years. Still, the Mexican comfort food is decent and the atmosphere is historic in a way very few other LA eateries can manage. Must-have options include guacamole (made tableside), green corn tamales and the margaritas, by which all others are judged.
El Cholo 1121 S Western Ave
between W Olympic & W Pico Boulevards