There are six traditional green tunics in the game. The ones from Ocarina of Time, Twilight Princess, Skyward Sword, Wind Waker, and the classic NES Zelda . These can be gained by using their respective Amiibos.

Simply scan an Amiibo (you have to enable the Amiibo rune in options and then select the rune in-game and aim your marker) and you may get one of these tunics in a random drop. If you don't succeed, try again.