What sytem did the legand of Zelda first come out with

The first game to come out in the series was of course simply The Legend of Zelda. It was originally released in Japan on the Famicon (a system that's equivelent to the NES, but this was only in Japan.) in 1986. If you're looking for the American answer, that would be the game of the same name on the NES (Nintendo Entertainment System) which came out one year later then its Japanese counterpart.