I found the brochure from Whangarata Zoo Park, which I think I probably got in the late 90s/early 00s.
Species-wise it mentions:
-Lions
-Monkeys
-Otters
-Zebra
-Baboons
-Ostriches
-Geese
-Donkey
-Turtles
-Birds
-Parrots
-Emus
-Serval
-Ducks
-Wallabies
Also: Pigs, Sheep, Lambs, Calves, Rabbits, Pony, Peacocks and Deer.
From the photos it appears that the monkeys were Vervets, the geese Cape Barren and domestic, the parrots were King and Princess, and there were at least two zebra.
Further memory searching makes me think there were definately a macaque species as well, and the baboon species would theoretically be Chacma.