The first console I got that wasn't shared was a yellow Gameboy Color. I was gifted that and Pok?mon Yellow for it. I remember that I put a bunch of pok?mon stickers on it too, including a hidden pikachu inside the battery cavity. :'3
I always played on my brothers' N64 but when I was old enough, my first console was the DSI. So many memories of nintendogs on that thing. It was hot pink and I loved it. I still miss the photo functions and pictochat. Might buy one again one day for the nostalgia.
A yellow Gameboy Color with Pok?mon Yellow was the first one I could call my very own. I was very obsessed with the color yellow back then and Pok?mon at the time definitely didn't help with that.
The first console I ever owned was the N64. I used to play the NES, SNES, and Genesis at my friends' and cousins' houses with them, and my dad really hated the idea of video games at the time. He was impressed with the N64's graphics when it came out, especially "Shadows of the Empire". He and I were huge Star Wars fans, so when he saw that game come out he was quite happy to get me an N64 for that Christmas.
I never got to own an original Gameboy in my youth, but my friend had a spare so he always lent it to me. It wasn't until the Gameboy Color had out that I got to own my own.