Seems to be quite a few odd stories coming out of New Zealand, my homeland lately. The video below was filmed while flying model aircraft in Tokoroa over Easter, it was posted to youtube by a chap named Bruce Simpson, it shows what looks to me like a small object traveling quite fast from left to right of the view. The capture is quite pretty.
Hard to say what it may be, but I'm going for a bird or bug, seen quite a few similar instances while filming myself, though never white in colour like dudes footage.
Don't mind Paul Henry, the host here, he gets on everyone nerves, love it.