Kitefishing is quite popular in New Zealand.

Check out Pauls Kite fishing http://www.fishingkites.co.nz/

There is some information on how fishingkites are used.

Its quite a boring fishing style from my perspective. Because you use long lines and have to wait for so long. There is not much finesse involved. You don't play the fish or anything.
After a long wait you just haul in the long line with a winch and collect the fish.

Good if you're just after a feed and have a big family 😛

Although they also sell very small kites that can be attached to just a normal surfcasting setup and only take out a small one or two hook rig. http://www.fishingkites.co.nz/kites-kite-designs/small-sled-kite.html

That might be more exciting and you wouldn't need much extra gear like long lines and winch.

yeah just need to wait for the right wind direction and speed :-)

Also popular in new zealand is Kontiki Fishing.
You'd use a electric motorized craft that takes out your long line.
Dont depend on wind - but its much more expensive.

check it out: http://www.seahorse.net.nz/

The traditional Kontikis looked more like a miniature sail boat.
Here is a bit information on the history of Kontiki fishing in New Zealand:
http://www.fishingkites.co.nz/electrickontiki/electrictorpedo.html

IF Kontiki fishing costs are close to a kayak , would rather use the kayak ! THanks again, AJ

I guess it probably even costs more then a kayak :-)

I'd vote for a kayak too.