The Autry Western Heritage Museum. http://theautry.org/
Randy's Donuts (near the airport's rental car row), perhaps the best donuts in America. http://randys-donuts.com/
The La Brea Tar Pits and Page Museum. http://www.tarpits.org/
Griffith Observatory. http://www.griffithobs.org/
You might check on the whale watching tours.
What to do in Los Angeles?
