Hard to say depending on what you want from your experience I think!

There's Breath of the Wild which is the switch game which made people actually buy the switch. Game is open world and incredible with it's exploratory and non hand-holding experience.

There's Tears of the Kingdom which is the sequel to Breath of the Wild essentially... do don't bother until BoTW is completed 😉 

There is also Link's Awakening and another Zelda game which just released recently however they're top down Zelda games which makes them a VERY different but OG experience.

If you have Nintendo Online you get access to NES, SNES, 64 and Genesis games, the most well known ones anyways. There are a few games in each system usually related to Zelda in some capacity. For me Link's Awakening on the SNES was what I first experienced over 32 years ago and really excited me.

I'm dead keen however on playing Majora's Mask and another N64 Zelda title. Ocarina of Time I think...

Honestly never been into the franchise that much but Breath of the Wild has transformed the Zelda experience big time for the better!