Health Navigator is a New Zealand based resource where you can find trustworthy and easy to read information about many common health issues and self care resources.
KidsHealth is a joint initiative between the Paediatric Society of NZ and Starship Foundation where there is great, easy to read information about children's health issues.
Immunisation Advisory Centre is a fantastic resource to learn more about the benefits and risks of vaccinations and the diseases they protect against. They also have a great free contact number where you can speak to a nurse specially trained in vaccinations.
A UK based health information site with articles about many medical conditions and health issues.
See the Mental Health Foundation of New Zealand "Helplines" page for some great support resources, including free of charge, 24/7 phone services with a trained counsellor.