The L.A. Film Festival starts on June 19th through the 29th. Like the Newport Beach Film Festival, the films range from documentaries to short films. This time, however, there appears to be more commerical movies. For instance, Wanted, starring Angelina Jolie and James McAvoy is premiering on the first night. Tickets this time around are going to be a lot more competitive ad expensive, mostly because this is Los Angeles we're talking about. The festival will take place in Westwood, CA.
Post Script
Look up movies and parking on their site.