Childcare - check our barnados, porse or kiddz for details of how home educators work (we don't call them childminders)
Check out Ministry of Education for setting up your own Early Childhood Centre, and OSCAR for afterschool clubs.
Unlike the UK it is not done to have pre school and school kids with the same childminder. I have no idea if it's a regulation thing or a cultural thing.
Housing - others have suggested good sites. I love having a one storey house, though ds is obsessed with stairs in other people's houses.
Parts of NZ are very multicultural, but coming from the UK I didn't notice. I would describe a work colleague by where their desk was and dh would say "Oh, the Maori girl" and I honestly hadn't noticed. So I am not a good person to ask if there are lots of Jamaicans really.
Healthcare
You pay for the doctors and you pay something for all children over 6. However you can usually see your own doctor the day you ring if you call first thing. Doctors visit is around $35 - $50. Dental care is free for children and done at school dental clinics. Adults pay the full cost of treatment (allow $100 for checkup and xrays). Medical insurance is however pretty good value and not just for the rich. A prescription is a max of $15 unless your drug isn't covered by Pharmac and then you pay the full cost yourself.
Asthma/hayfever
You have to pay extra for branded Salbutamol. Dh's asthma is better here in summer, but worse in Winter because Christchurch gets quite polluted (sits in a below sea level hole)
Ballroom Dancing
Not my thing sorry.
Sailing
Again not my thing but NZ love to sail.
& food
We have food, if you like eating seasonally and cooking from scratch you will like it here. If you love ready meals and 15p packets of biscuits you will struggle.