The first home console I ever owned was a Gamecube that I bought for my 10th birthday I believe. Later one, a friend of mine gave me the Collector's Edition for it, which was the earliest encounter with a Zelda game I had that I can remember. I tried out LoZ and Adventure of Link, but they didn't hold my interest for very long, and were too hard for me to really want to finish. Ocarina of Time was the first one I ever beat, so I have very fond memories of it on that front.
I bought the 3DS remake, and I had a blast with it too. I also emulate in on P64, and it's still a good time today even though I've probably beaten it 10+ times.