[David Johnston2]

Of course every anarchy that isn't just the hiatus between regimes is an exotic system.

So you have

Nominally an anarchy except that things are actually being run by corporate entities such as homeowners associations and corporations.

Nominally an anarchy but everyone knows that a vastly powerful entity, a god, superhuman, habitat controlling computer or something will punish those it sees as misbehaving. However the entity does no actual administration.

Nominally an anarchy but one steered by a social media network that grants and takes away points for being helpful or harmful.