If you can afford the drinks, the bar at the BH Four Seasons is a great place to meet people. Lots of beautiful people and occasional celebs.
Hanging out in Malibu is fun. Martinis at Pier View is usually a blast. You can walk around a bit, but most places require a car. Paradise Cove is a bit of a drive west in Malibu, but very relaxing. Mojitos on the sand!
If you like antique luxury autos (one of the finest collections in the world) and orchestrions, there is a somewhat hidden museum up in Sylmar that is well worth the visit.