The first game I ever owned was Ocarina of Time (It was not the first game I played though as I had played a plethora of different NES, SNES and Genesis titles at friend's houses over the years). Although it would go on to become my favorite game of all time, I originally didn't play it much because I found it very obtuse and quite frightening (I was about 7 at the time). As a result, I grew up mainly on games like Yoshi's Story, Super Smash Bros., Mario Party, Donkey Kong 64 and Kirby and the Crystal Shards. Despite this, gaming was always just a distraction for me or something I did when friends were over. However like most people in my age range, the video game that really changed how I interacted with video games was Pokemon (Yellow version to be specific). I remember getting it on Christmas '99 and just losing my mind over it. I spend literally days playing it and recess at school was always dominated by trading, battling and general Pokemon talk. As a result, the following year or two would be mainly focused on the Game Boy games and it's spin-offs (Snap, Stadium, etc).
As I got older, I ended up returning to Ocarina of Time and Marjoa's Mask (which I also owned but never played much) and I absolutely fell in love. From there on, Zelda became my next big obsession and became a defining part of my childhood. It was from here that I would really branch off and start experimenting with different types of gaming experiences.