Ok, so there are lots of Ships in Hyrule. Zeldink, Linkna, Linkalon, etc.
Each game in the Legend of Zelda has different Ships to go with it. For example, in Skyward Sword ZeldaxLink is totally a thing. In Twilight Princess Link has very little interaction with and seemingly no feelings toward Hyrule’s Princess, but some girl named Ilia has all his attention.
What I’m going to do is list ships by game. Each game has a separate page, so please enjoy and Ship everyone in Hyrule.