It's a very common thing for students from all counries, but especially from the Asian continent, to come to New Zealand to do study. New Zealand has a great international reputation for quality education and friendly people. It's this that encourages many to coem to further or finish their studies.
New Zealand has a number of exceptional internationally acclaimed universities. From one or more of them, it is possible to study almost any subject. You will find universities in all the major towns and cities, but it is worth having a look at their offered courses before making a choice as not all topics are covered at every institution. In addition to regular universities, there are a large number of Polytechnics (like a trade school) and many specialist finishing schools.
However, be aware that there is a cost for studying in New Zealand like there is in most countries, especially for non-residents. You will also need to obtain a student visa in order to live and study in NZ.
This site is not affiliated to New Zealand Education Office. Their main site can be found at http://www.jasminenz.com.