Well, a lot of the nature there is pretty different from most anywhere else in the world, IMO, but in addition to that......
I definitely enjoyed the Te Papa museum in Wellington, it has a lot of nice public art, and I liked Wellington a lot (wish I'd spent more than 1.5 days there). It's a lovely city. Auckland, on the other hand, I didn't much care for. One of the places I didn't have time to visit was the Agrodome, which is a sheep farm demo sort of attraction - auctions, sheep dog demos, sheep shearing, etc.
If the timing of my trip had been right, I would have loved to have seen an All Blacks game, but they weren't playing when I was there

The same for some sheep dog trials, which I'd love to see but weren't there when I was. And something which holds no interest to me but was a big hit with some travelers I met was the vineyards and wine area of the North Island.
However........New Zealand is a small and very uncrowded country. There aren't going to be a lot of different attractions for different tastes in any specific area. It's so far from a major metropolis like Hong Kong or Bangkok, that if you are looking to be entertained in one like you were in the other, it's a lost cause, IMO. It's not all "pure nature", but you've got to do a lot of traveling to move around from one to the other (I did a 10 day road trip on the North Island, FWIW, and would love to go back for more).