The tri-nation teams and the US love their nicknames...the rest of the world couldn't give a ****. Oh and Argentina.
Chile are Los Condores and Uruguay are Los Teros (both are types of birds), and use them heavily. The problem is one of them seldom appears internationally and the other one not at all.
I know Chile's match with Tonga last fall was one of the very few times I have seen them play anyone outside of South America, Uruguay used to play Canada regulalrly but our only recent match was at the 2010 Churchill Cup, hopefully they can get back into the tour schedule of other sides.
New Zealand A are actually called the Junior All Blacks. A player that has played for the NZ Maori lay still be eligible to play for another union, whereas the junior AB (who are not age based) are like the Saxons and the like.