Are we? Or are we just more open about it than the false classlessness that I have heard many Kiwi's, Aussies, Americans (my family are from the east coast) and some Europeans claim is so much better back home?
There is no class system in New Zealand. There are rich Kiwis and poor Kiwis, but by and large the only difference between them is that the former have more money, bigger houses and more things.
Our Prime Minister grew up in a council house. It is normal for rich children in poor neighbourhoods to attend the local school. The universities contain people of all backgrounds. People's tastes in food, interests, accents, terminology, friends, work, clothes, do not differ here because of class consciousness. Due to wealth inequality I suspect this will have changed in a generation or two, but it isn't there yet. Accordingly, analysis of social issues here really doesn't concentrate on class simply because it's irrelevant, not because everyone's ignoring it.
Many things in NZ society remind me of English working class culture, however, as (ethnicity considerations aside) everyone is part of that culture, there is no class system as such. By contrast, in the UK there is a strongly embedded cultural system that assigns a 'class' to each person.
None of this is to ignore the really quite shocking living conditions in some parts of NZ, especially Auckland. However, they are not a class issue.