It seems New Zealand is one of very few countries where that is the case, and that's because you guys have a government scheme that provides equivalent coverage for personal injury without being a form of insurance (ACC). As far as I understand, part of the registration fees you pay go to ACC. I would argue this is basically a mandatory insurance system with another name.
New Zealand doesn't require car insurance, and I presume there are other countries with governments that that don't either.
I suspect most people in NZ would only have a sketchy idea of what liability is, based on learning from US TV shows.