OK in Europe, Asia and Africa.
In all of the European Community, these things (and the buggy above) are classed as either lightweight or heavy quadricycles. There's plenty of restrictions on this (20hp being the main one), but if the manufacturer has homologated it in the EC then you can register it and get your plates. In the UK you can also register one using the Single Vehicle Approval scheme as long as it meets the requirements.
I've been researching whether you can then use one outside Europe and it seems OK for Asia and Africa, but I don't know about Australasia nor North or South America. Still that covers a lot of the world, and for me going through the EC, Russia, Mongolia and China it's fine (assuming we can get Chinese driving licences).
What'd be interesting to know is whether you could drive a European registered quad or buggy on the road in the US for instance, after all they'll let you drive cars which they wouldn't let you register.
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