When people aren't trying to screen out people vs. non-people, then we have many many instances of computers successfully passing themselves off as people and having long conversations with unwitting strangers who never caught on. If I told you that a particular AIM account was actually a perl script designed to pass the Turing test, and, when you initiated a chat with that account it said "No, man. That's just one of my friends playing a trick on me - I'm totally real, and that's totally a hoax", how could it convince you of its humanity without resorting to out-of-band methods "call me on the phone" or "check out my webpage"?

If you can't think of a method, then I submit that computers have already passed the Turing test.