My first handheld was a Merlin, when I was about 8 or 9. Had a ZX Spectrum at 12. After that I mostly played PC games (my first was Zork on a dual floppy Amstrad 1512) unil the Gameboy Colour came out. My GBC, GBA, SP and DS Lite all still work (I have Pokemon Sapphire in the SP currently and small daughter plays Cooking Mama on the DS). Hubby had an Amiga I think, then a PSOne. We now have a PS2 and a Wii we never play, but our 3DS consoles get a work-out every day. I still have the Speccy, but unfortunately the Merlin was lost somewhere along the way.
The first one I played (that my brother owned) was either the SNES or the Sega Game Gear, but the first system I owned personally all to myself was a Gameboy pocket, and then the PS2.
The first game system I played on was my families' N64 and I played Star Fox 64 and Zelda Ocarina of Time. My first personal game system was a Red Gameboy Color with Pokemon Red. I still have that Gameboy and Pokemon game.
The first game I can remember playing was Mario 64 when I was 3 years old. But the first system that I owned was either a Gameboy Color or a Super Nintendo.
My first console owned was a Game Cube, before that I played my cousin's gba, and always watched my baby sitter's children play SM64 and SSB on the N64.
I actually asked Santa Claus for "a Mario" for Christmas, and got a little bummed out when I saw the Game Cube, but then I played it and realized how much neater it was.
Unfortunately, because of that, I can't really take the low-res graphics of the N64, or original Play Station. I was spoiled from a young age, I guess.