If your window gets sun, you can get herbs like basil, parsley, or mint to grow indoors. Currently I'm growing catnip indoors and I plan on moving some of my herbs indoors when it gets colder.
I did make a great discovery this year: chocolate mint (mentha piperita). The leaves taste like minty chocolate (you really have to try this -- you won't believe it until you do).
Also, I've heard conflicting reports about growing mint indoors over the winter; some sources say that mint needs to die down in the winter and won't survive year-round growing, but others don't mention it. Should I just plant two pots, one indoors and one out?