That would be the SEGA Genesis I got when I was two, along with Sonic the Hedgehog 2 for the first game. I still have that SEGA Genesis, I don't play it often but its still fun when I do.
NES, I also had the Original Gameboy but I didn't get one until quite a bit later.
For a while, my only gameboy game was Tetris. Back than, the only way to play Tetris "Mobile" was to clunk around the large gameboy. We didn't have a downloadable one on our phones.
I didn't really care about mobile game anyway UNTIL Kirby's Dreamland 2 AND pokemon Blue - By the latter I already had the gameboy pocket. I don't remember when Kirby's Dreamland 2 came out so I might have had to use the original gameboy for that.
Of course I had Super Mario Bros 3 on the NES. First video game I played and still my favorite to this day
Mine was a PS2(original big version). My first two games I got on the same day. It was the first Ratchet and Clank and the first Jak and Daxter. Funny thing is, I still have all 3 things!