When I posted earlier I was on a work break and was a bit rushed. I thought about what someone coming all the way from the other side of the globe would really consider worthwhile ventures while visiting this great state and took into consideration what info you have given us.
The missus want shopping? Go to Union Square. This is the Mecca for that activity.
Take a trolley. The Powell-Hyde trolley goes down toward the wharfs and past iconic Lombard St.
Walk across the Golden Gate Bridge.
The California Academy of Sciences is a world class natural museum in Golden Gate Park.
Monterey Bay has the Aquarium and Cannery Row, and a bunch of sightseeing and history. And a way more laid back pace than the city. It's a state of mind.
SF to LA by car: (In ideal conditions) 8 hours on I-5, maybe 12 hours on US101, and a couple of days via the PCH (CA Hwy 1)
Disneyland? Crowded, expensive, noisy...and I can't wait to go again.
Universal Studios? Same, but the greatest escalator on earth makes it all worth it.
San Diego is a couple hours south of LA, but a great place to visit. Balboa Park alone has a week worth of attractions. The Zoo, and Aeronautical/Space Museum were my personal favorites. Mission Beach is the quintessential California beach.