I once raised this in another post. The correct name for the Rugby Union team that represents the whole of these islands is The British Isles. The team was commonly known as The British Lions (as in British Isles not Great Britain).

But recently this has changed to The British and Irish Lions, no doubt it will become The British Irish and Welsh Lions and then The British Irish Welsh and Scottish Lions, then maybe The British Irish Welsh, Scottish and Manx Lions, next will come The British Irish Welsh, Scottish, Manx and Channel Lions. Then the English will decide they are a better team on their own and tell the others to piss off.