I just got back from a family vacation. I took my wife and son on a big tour of US National Parks out west. We flew into Los Angeles, spent some time there, then did the tour. It ended up something like this:
Los Angeles: Whale Watching boat tour. Kayaking with sea lions. Petersen car museum. La Brea Tar Pits. Hollywood sign from the observatory.
Sequoia National Park/King's Canyon National Park (they connect): Hiking, exploring the giant trees and some mountain views.
Death Valley: Driving the unpaved trails, some light hiking, star gazing, general sight seeing.
Las Vegas area (including towns featured in Fallout: New Vegas. We went to Goodsprings and visited the bar the saloon is modeled after, went to Primm and saw the casinos and got some chips from Whisky Pete's, drove through the Mojave Preserve)
St. George Utah/Zion National park. Canyon hiking, dinosaur track spotting, desert hiking
Joshua Tree National Park: Light hiking, 107 degree weather
Los Angeles: Autry Museum of the West, LA Zoo, Aquarium of the West, some light hiking. Santa Monica pier. Long Beach.
Insert massive amount of visits to various taco trucks, Armenian bakeries, doughnut shops (seriously, LA has a butt ton of them from cheap-o to gourmet), and In N Out.
LA traffic SUUUUCKS. I'm in no hurry to return to LA (or go through LAX again) but the trip was worth it and was a lot of fun.