Not really sure. My wife wants to do one of those TMZ bus tours and see the Hollywood sign. How is the Zoo? We love zoos.
What are some good places to eat? Right now we are splitting our trip into two phases. First few days we will be north of LA. Then the last few days we are changing hotels to the Anaheim area so we can hit Disney.
There are a TON of great restaurants in Los Angeles, mainly because of our cultural diversity. I would use Yelp (it's big on the west coast, dunno why not so much on the EC) if you need help choosing a restaurant based on your personal tastes. Tons of sushi restaurants, but most are owned by Korean wannabes, you will want to stay closer to Little Tokyo or downtown LA for the real stuff.
If you are a foodie, then these are the restaurants I would recommend:
Providence - personally my favorite.
Melisse - good date place.
Ink - trendy, usually good for star (famous people) gazing
Animal - really interesting menu
Chi Spacca - crazy good for meats like steak and lamb
Ostera Mozza - probably over-hyped, but it's decent for Italian food.
Angelini Osteria - this is where you want to go if you want authentic Italian food. Another star-gazing restaurant.
Urasawa - once-in-a-lifetime sushi experience.
Sugarfish - this is a chain, but still better than 99% of the sushi places you would find outside of NY, San Fran, and LA. The LA is kind of pedestrian but I put it here because if you are visiting it's a safe bet.
Nobu - go to the one in Malibu, awesome views, once again you are likely to see someone famous.
If you want to visit a zoo, the San Diego one is the one you want to visit, that or the Wild Animal Park (also in San Diego). This is about a 3 hour drive from Los Angeles. I personally wouldn't visit the LA Zoo unless you don't come from a big city and haven't visited a decent sized zoo before.
Griffith Park is a cool place to hang out and picnic, plus it has the observatory.