Link's Awakening was the first one I played, around the time it came out. I played LttP in 1997 when I finally got an SNES. I don't think I played another one until I bought a Gamecube in 2006 and played Wind Waker. I've been working my way through the rest of the series since then; played the 3DS remakes of the N64 games, Skyward Sword and Link Between Worlds around the time they came out. I've actually beaten four Zelda games just this year: Oracle of Ages (did Seasons a couple of years ago), Majora's Mask, Spirit Tracks and Minish Cap. The only proper Zelda games I haven't finished now are the two NES games and Twilight Princess.
So the game I'm actually trying to think of is an upcoming game (unless it came out), and I believe I've seen one or two trailers for it on the site. It was a puzzle game, and if I remember correctly it had an isometric perspective and some sort of Asian aesthetic.
I found the announcement a lot more exciting than almost anything else this week. Obviously we have no idea what the actual product will be like--and I'll be the first to admit that FFVII probably hasn't aged well--but I'm really curious to see more of it.