That being said, I do wonder what has happened to Mark Zuckerberg's opinion on privacy since the early days of Facebook.
You can set the privacy for anything you post to 'only me' (which is about as private as it gets, in a way), though I suspect that's not what you have in mind.
Not friends of friends for some stuff etc. FB allows you to search for people etc. Realistically, I should just start using something like Path.