Farmers Market.
If you're a foodie and is looking for places in Los Angeles to satisfy your food cravings, Farmers Market is definitely one of the places to go to. Aside from the fresh produce that this market offers, what made this famous for locals and tourists alike is because of its ethnic cuisines and its specialty food markets prepared in stalls.
You can find in here local American cuisine as well as foods from Los Angeles' immigrants like Latin American, European and Asian cuisines. Unlike most farmers markets, this one in Los Angeles is open for everybody all seven days of the week, Mondays through Sundays. In fact (according to Wikipedia) this place is considered a historic Los Angeles landmark and is a very big tourist attraction of the city.
Opened in July 1934. Located at the corner of 3rd Street and Fairfax Avenue in the Fairfax District of Los Angeles.