Hello Lanolin;
I don't know, just from what the restaurants claim, that they are New Zealand dishers and just these four are quite delicious to the patrons of these restaurants.
Butter chicken pie are pyes and served at a restaurant in the Bay Area and considered NZ food.
Bangers and mash are sausages, onions, gravy and mashed potato.
Crispy brussel sprout chips are a type of chip. It appears brussel sprouts are a good food grown in New Zealand.
Roast Maine lobster are a popular seafood from New Zealand here in the Bay Area.
I'm sure there are many, many recipes from New Zealand all over.