Chow Recs in Westwood
it doesn't get unanimously rave reviews on this board, but I like Sunnin. It has a bare-bones atmosphere, but the hummus and shawarma are very good. The falafel is not as strong, though.
Another option would be to drive a bit west and go down Sawtelle Blvd. Kiriko has wonderful sushi (and non-sushi) food. Hide Sushi is a very reasonably priced sushi option, but the quality is definitely a notch below Hide Sushi. There are many other options -- just search this board for Sawtelle.