Pitcairn Islands

It's a very small population. You can read the plans for repopulating it, since the island has a capacity for at least 200 people.

With supply ships only every three months (though with more frequent passenger ships), it's not a place I would want to live.

If you want to move there, bear in mind http://en.wikipedia.org/wiki/Pitcairn_sexual_assault_trial_o... .