An Aussie living in NZ can struggle for music. Among my favourite NZ bands and I am an oldie (80s child) are:
1. Straitjacket Fits - 'She Speeds' - I think the NZ version is 'Sheep Speed' or 'Sheep & pe'. I think they would be classed as a one hit wonder.
2. The Chills - a more successful NZ band - see 'Pink Frost', 'Heavenly Pop Hit' and my favourites 'Dan Destiny & The Silver Dawn' and 'Brave Words', 'Creep'