Love that the Kiwis turned up as the All Stacks (derived from the All Blacks).
We've also the Wheel Blacks for wheelchair rugby, the Tall Blacks for basketball, and of course, then in cricket it's the Black Caps. (A "cap" in cricket is when you get to play international cricket).
And of course the infamous time the national badminton team tried to call themselves the Black Cocks.
National soccer team is the All Whites.
And womens' sports teams tend to derive from the Silver Ferns (national netball team), plus a reference to their code.
So Black Ferns, rugby, White Ferns is not soccer as you'd expect, but cricket (the traditional "cricket whites" are only worn in test cricket these days), the soccer team is the Football Ferns.
And I'm unsure if there was ever a Fern Cocks badminton team.