I doubt there's an example of a monarchy anyone would seriously want to move to, but Medieval Iceland was a fine example of a funstioning anarchy: for longer than the United States has existed they had aterritorial, voluntary government by gothar (sort of kind of like chieftans, also sort of kind of like lawyers) who competed to provide people with governing services.
> I doubt there's an example of a monarchy anyone would seriously want to move to
You doubt that people wanted to move to the old European monarchies? Even if we're only talking about the present, I'm not a fan, but there are plenty of people who would love to move to the UAE.