There is a nice restaurant called the Proud Bird on Aviation, about 5 minutes from LAX, and I recommend it (I've eaten there several times, since I work near there).
The Proud Bird has old time aircraft in the front, and has huge windows that look out towards the runway so you can watch planes land. Also, there are a couple of rooms that have fireplaces in there.
To get there you would leave LAX & stay on Century Blvd. About a mile down, you'll reach Aviation. Turn right. The Proud Bird will be on your left-hand side about a 1/2 mile down the road.
If you take Sepulveda South you'll run across a restaurant called Stick & Stein - like a sports bar. There is also a Sizzler right there on the corner of Sepulveda & Mariposa.
Further south on Sepulveda you'll hit Rosecrans. Turn left and you'll run into various restaurants - Houstons is very nice steak place. You'll also see Macaroni Grill, Daily Grill, Cozymel (yummy Mexican restaurant), PF Changs, Boston Market. We have a lot of company lunches at these places.