Definitely the early 00s. The PS2 and Gamecube were giants. I never had the Xbox but I've always wanted one even to this day. They had a plethora of games to select from and dozens of different genres unlike today. Back then there was no corporate greed like there is today with EA or games done halfassed like Ubisoft does. There was no ridiculous home screen with advertisements all over the place, no installing the game either or constantly installing updates everytime you buy a new game as if it was never finished, and best of all no DLC/loot box bullshit. You just popped in the game and played the damn thing and you never thought about the game having bugs or anything. They were all complete games and that's because back then they didn't have the power that DLC gives them today where they can shit out a half done game and finish the rest later while also making extra money off of it. It's like a nice fluffy pillow they can fall back on.
While the early 00s were my favorite time of gaming I can't leave out the sweet and innocent 90s. The N64 was my childhood. Goldeneye, Super Mario 64, Diddy Kong Racing, Mario Kart, Banjo Kazooie, Conkers Bad Fur Day and most importantly Legend of Zelda Ocarina of Time. The NES and SNES were other systems I played but not as often as those were more difficult to access since my brother was very protective of his NES and my one friend back then was the only one around me with a SNES. Playing Ninja Turtles Arcade on the NES and Donkey Kong Country, Contra 3 Alien Wars, and Top Gear on the SNES were the most memorable games of those systems. Gameboy and Gameboy Color were also big time systems of my childhood. Playing games like Pokemon Yellow and...more Pokemon Yellow. I'd play other games like Mario, Zelda, and some third party games like this one Mission Impossible game I remember playing but it was mostly Pokemon Yellow.
Man I miss those days so much. When games were this exclusive "club" for only those who were nerdy enough to be interested in it. It's gotten WAY too big and mainstream these days and it's suffering because of it. Too many people stinking up the pool that don't belong in it.