Mine was the Wii. My dad won it in a raffle at work, like a month after it came out. I was literally 2 when that happened, but my earliest memorys of it (4-5) were Lego Star Wars the complete saga, Lego Indiana Jones, SMB1-3, Donkey Kong, and Yoshi (the NES puzzle game *kinda* like puyo puyo).
Add to that a decade or so, the letter U, and a interest in Mario kart custom tracks, and here we are now.
Edit: its not technically mine, but I'm basically the only one who uses it.