Well, I suppose I'll say the obvious tourist destination: Chinatown. It's not as great as it used to be (well, to me anyway) but if you've never been there, it's definitely worth the visit. While you're there, you can eat at the very good -- but very expensive -- Chinese restaurant called "The Empress of China." I don't think it's completely worth the price, but it's up an elevator and has an impressive view, and the atmosphere is very nice. A lot of famous people have eaten there over the years.
J-town is also kind of nice, but compared to Little Tokyo in LA it's not that great. Still, there's a little mall and some good Japanese restaurants...and if you haven't been to any other "little Japan" then it's pretty decent.
Also, Ghirardelli Square is really nice, and chocolate should be a great incentive for your girlfriend
(unless she's allergic, in which case, it might be less appealing). There's lots of shops and stuff... it's rather touristy (sorry), but nice. HOWEVER, don't go there at night. In the daytime it's a nice enough area, but it gets kind of rough at night... at least, a few years ago that was the case. I don't know, maybe it's different now.
Unfortunately, San Francisco is extremely expensive in general. My parents and I go there a lot less than LA, even though we like it a lot better, because of the prices.
Jam it back in, in the dark.
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