New Zealand has only one or two poisonous species of spider, and there have been few, if any, deaths from their bites. Our only claim to fame spiderwise is the colony of triantelopes which came over from South Australia in the 1940s in timber used to build the racecourse grandstand in the Auckland suburb of Avondale. Curiously, they have never spread beyond that particular area and nobody knows why. We shipped hundreds of them to Hollywood for the film "Arachnophobia", which movie was a bit funny to us. The sight of people screaming at these delightful, familiar, hairy and completely harmless creatures on the wall seemed too silly for words. We used to keep a pet one in a fishbowl in the lounge for my son to play with. They can live for a long time on a bit of moist cotton wool but we felt sorry for it and let it out.
We do have our version of the brown recluse, the local white-tailed spider, which many people claim carries necrotising bacteria. This is still a matter of dispute.