I have a friend who is visiting SF for a week and I've been going through a list of things he must see while there. He'll have access to a car and so I'm thinking about the Greater Bay Area as well. Some highlights so far:
1) Burritos in the Mission. Everyone has their favorite but I'd go with either El Toro or Pancho Villa. Buy the super burrito and hang out in Mission Dolores Park. It's one of the things that made me fall in love with SF.
2) Dim Sum at Yank Sing. Definitely have the soup dumplings. And everything else.
3) Bike/hike through Golden Gate park to the ocean. Don't miss the Bison Paddock.
4) Take the audio tour on Alcatraz. Obviously very touristy but even locals admit it's amazing (when they go after 10 years.)