The LA Opera at the Dorothy Chandler Pavilion on Grand Street in downtown LA is a must during the fall and holiday season when they have a solid lineup of opera and ballet. Very inspiring.
If you find yourself in Malibu for any reason, stop by the Pepperdine university campus and check out this grass field. If there aren't any lacrosse practices happening, then you can sit and fell like you're on the edge of the world.