I haven't been there in a while, but China Town was always fun and funky. Lots to do in Golden Gate Park - the Tea Room IS beautiful.
What a great city to get married in! San Fran is my favorite place. Mark Twain once wrote that the coldest winter he ever spent was summer in San Francisco -- do bring a jacket!
There is always the traditional Fisherman's Wharf (Stop at Boudin's and get some sour dough bread - Yummy!) and Pier 39. If you have time take one of the bus tours and take another day to visit Alcatraz. It is AWESOME!
If you do the bus tour first you will be able to pick out some spots that appeal to you and go back for a longer visit. You can get tickets for any of the bus tours in hotel lobbies. Gray Line has one that they advertise heavily, but it's not any better than the others and is a bit more expensive than a lot of them.
If you want to venture out of San Francisco for a while drive to Big Trees and Jamestown. It's a bit of a drive, but worth the trip. You could combine it with some of the wine tasting tours.
I don't know if Lombard street is open for traffic anymore - but it was a hoot when we drove it. We commented that all the flowers were there marking where all the tourists went off the road!
Cable cars are for tourists - they are expensive and slow but a must for a visitor! I hope your legs are strong - lots of walking UP and DOWN and UP and Down and...
Is the Chocolate factory still open?
(for the life of me I can't remember the name of the chocolate! I'm sure someone else here knows) I'm not a fan of chocolate, but that was a pretty cool place. If you LOVE chocolate you can also tour the Hershey plant - but it's a way outside of San Francisco. Talk about chocolate overload! They take you by bus from the souvineer shop/Hershey museum to the factory and the air is thick with the smell of chocolate and sugar.
If on your trip you go anywhere near San Jose you MUST visit the Winchester Mystery House. It's the only thing IN San Jose worth seeing!
There are also charter boats that will take you out on the bay. That can get expensive depending on what tour you take or if you charter a boat yourself. (and if the sea lions have left any docks functioning!)
Congrats on getting married too!