Max's is probably the closest. Is getting to the location from the airport an issue?

If so (and you can't find someone to volunteer to give you a ride,the best choices would be restaurants on bayshore (such as max's) where you can walk to them from the hotels (how you can get to the hotels from the airport is left as an exercise to the reader), or restaurants on El Camino Real in Millbrae which are in walking distance from the Millbrae BART station (one stop from the airport).

Off the top of my head, restaurants on Bayshore in Burlingame include: Max's (Deli), Gulliver's (Prime Rib and other English cooking in a kitschy 18th century environment), and Beni Hana. Additionally the hotels themselves have some restaurants.

On El Camino Real there are several Chinese (cantonese) restaurants including Fook Yuen and the Hong Kong Flower Lounge, the diner mentioned above, a Viet Namese Restaurant next to it. Other random restaurants exist here such as a fairly good sushi place, and an ok (but not great if my memory serves me) Thai place.