The Zelda game that really got me into the series was Minish Cap then i went on to play Oot and then after Link's Awakening I was really into it what about you guys?
Ocarina of Time. It was the first videogame I ever played along with Super Mario 64 when I bought my N64 back in 1999. Back then I hardly knew how revolutionary it was but am glad to have been introduced to the venerable franchise.
Well, I'm going to break the OoT/LttP trend here and say The Wind Waker. I'm a newer fan. ^^ Admittedly, though, I didn't particularly care for the series as a whole until I played Ocarina of Time and even Twilight Princess.
Definitely Ocarina of Time. I was a Zelda fan for a few years without actually playing, since I was too small and only watched my sisters play, but regardless I was already hooked on the series.
My first game ever: The Legend of Zelda: Ocarina of Time! I love this game and it is still my personal favorite Zelda game with Skyward Sword coming to a close second! I miss Young Link though! I hope he returns soon!
Wind Waker really got me playing zelda, I fell in love with the series, and then I went and played Ocarina of Time, Twilight Princess, and more. But Wind Waker was the one who introduced me to it all. <3