Shamshiri has good food, very generous portions, and very quick, free delivery service. I really like their chicken shawarma, beef koobideh, and sharazi salad.
Lamonica's in Westwood Village has far and away the best pizza in the area, a brisk delivery business, and discount coupons a couple of times a week in the Daily Bruin.
I also like Siam Chan for Thai delivery. Good mee krob in a vented container so it stays crispy and doesn't steam limp, tasty yellow curry, and I like the spicy noodles. Very reasonable prices.
Jose Bernstein's charges a very nominal fee for delivery. Burritos, sandwiches, burgers and the like. In my opinion a step down from the others.
MenuPages has a restaurant delivery subsection, and for Westwood, it lists 27:
I'm not too sure if their info is 100% right though and they omitted several that do. CPK may only be togo as well as Asuka, Ami, Soleil, ect.
Some Others do deliver, but be warned, that some only deliver for Lunch:
Ambala Dhaba - Indian
Mr. Noodle - Exotic Asian Cuisine (mainly Chinese & Thai).
Shamshiri Grill - Persian
Mio Bobbo's - Italian at a reasonable price.
But really don't you want to narrow down the acceptable cuisine options & maybe $$ per person ceiling? The ones I've listed are in the $ to $$ range and not the $$$$ to $$$$$ range.
I always like Siam Chan, on the corner of Colby & Santa Monica Blvd. But like everybody will say: Their pad thai is annoyingly sweet and pink-colored.
But I really like their food, overall. Their praram dish is good, if you like peanut-sauced dishes. Their junpu noodles are good, if you like a sour taste. Their eggplant isn't anything special, though. Their orange chicken is surprisingly good. Their BBQ chicken is pretty good, as well.