My first games were Super Mario World and Super Mario Kart. Then came SNES Aladdin and a couple others I wasn't as fond of.
I mostly grew up with my N64. I got it when I was like eight and played all kinds of things on it. Like Ocarina of Time, MarioKart, Pokemon Stadium, and all of that. I got a GBC just for Pokemon a few years later and that was awesome too.
I was mostly a Nintendo kid. Have branched out a bit since then, but my heart lies with the same series I've enjoyed my whole life. Those are all Nintendo series.