Lets start off in the hood:
If you are down with some soul food try Chef Marylin's on Crenshaw just south of Adams Blvd (hole in the wall). Wicked tasty cat fish and mac n' cheese. They have a dollar meny also, but you always rack up a bill no matter what. Food is tasty, but service is slow and hood. Not a sit down place...everything is to go!
for some tasty mexican food try El Taurino in the Pico/Union area, on Hoover and 11th just south of Olympic. Everything taste good. Tacos Al Pastor, Carne Asada , tortas, tostadas, whatever, you cant go wrong. The beer is ice cold on tap also.
For some chinesse food try Yang Chows on Figueroa south of Alpine. Items are a'la cart, family style ordering. The shrimp fried rice and Orange Chicken are off the hook. But if you go here, you must try the slippery shrimp...house specialty! Think Orange Chicken but way better.
East Side of Town:
Nobody has mentioned The Hat. There are a few of them around, but im partial to the one off Atlantinc and Ceasar Chavez. Best Pastrami Fries in town. Burgers and regular fries are tasty also.
Im sure im forgeting some....will post more later.