Under the trans-tasman mutual recognition act (TTMRA) the qualifications are transferrable without any further testing. You would have to download the appropriate form, get your logbook certified as correct (by a solicitor / JP / other trustworthy person) the pay you fee and get a NZ Medical. Wait a little bit and a nice shiny NZ ATPL will show up in the mail. Have a look on
Civil Aviation Authority of New Zealand , all will be explained