The best example I can think of that goes after a specific group is Dogster. Dogster was started as a joke by someone who created the site over a weekend (at least that's the story I heard). Much to the designer's surprise, people really wanted to talk with other people about their dogs. Dogster has since raised some money and is getting revenue from sponsorships. Woof!
Increasingly, people/groups will just put these networks together themselves instead of relying on a business to do it for them. Ning has been working hard and has a bunch of social networks already up and running. They make it easy for people to put together all the components (forums, photo albums, video, etc.).
Plug: Mobile Monday Boston will be having its next meeting on Sept. 17 to discuss mobile social networking. A number of companies will be presenting (including mine - padpaw.net).
They should improve features, but as of now , features are not visible. Most of them are just theme based social networks. Which makes me inquisitive about the number of social networks each user joins on an average.