Your timing might be right (plus these long holiday weekends tend to make it easier to get in to places on a Sat. night you would never ordinarily have a chance on such short notice) to get a cancellation some place like Max on Ventura Blvd. in Sherman Oaks. If you like Japanese then give Asanebo in Studio City a call. They have both wonderful sushi and cooked dishes.
11941 Ventura Blvd
Studio City, CA 91604-2607
Phone: (818) 760-3348
maybe too late now, but agree with sushi (i'd go tama).
i also love ca del sole and they might be able to take you, given as mentioned, it is a holiday out of town weekend.
could also do minibar for tapas.
near the airport, you've got caioti on tujunga and vitello across the street from there.
could also hit up il tiramisu on ventura and woodman.