NES: Super Mario Bros.
To be honest, this and Duck Hunt are the only games I remember playing on the NES.
Game Boy: Pokémon Yellow
This is the only game I really remember playing on the Game Boy. It was my brother's console, so I didn't use it much.
Sega Genesis: Sonic the Hedgehog
I don't remember if it was 1, or 2, or both, but I played it a lot when I was little. Honorable mention to Street Fighter II, which I played with my brother. He usually won because he was older, but that just made it feel that much better when I did get a win.
Nintendo 64: Super Mario 64 and Banjo-Kazooie
I spent a lot of time on both of these games, and I still play them from time to time. Honorable mentions to Pokémon Snap and Mario Party 3, which I also played a lot.
Game Boy Color: Pokémon Crystal
This is another case where this was originally solely my brother's console, and I just played it sometimes. And I mainly only played Pokémon Crystal and, the game I'll give an honorable mention to, Super Mario Bros. Deluxe on it.
Sega Dreamcast: Sonic Adventure
Surely I played other games on this console, but I think this is the only one I really cared about. More specifically, I loved the Chao. I spent most of my time playing in the Chao Gardens.
Game Boy Advance (SP): Rayman: Hoodlums' Revenge
Another of my brother's consoles, I didn't use this one much at all, and I think this game was the only one I played. I enjoyed it though.
Nintendo GameCube: Super Mario Sunshine, Animal Crossing, and Harvest Moon: A Wonderful Life
I played all three of these so much, and they each have a special place in my heart. I'll give honorable mentions to Luigi's Mansion, Pikmin, and the Bratz games that were on this console. My best friend liked the Bratz games too, so we'd call each other and chat while playing.
Nintendo DS (Lite): Super Mario 64 DS
One of my favorite games with some new additions and twists! I played it a lot. Unlike the Game Boys, this was the first time I had a handheld console that was my own and not my brother's, so I used it a lot more often. Honorable mentions: Animal Crossing: Wild World, Harvest Moon DS Cute, Pokémon Platinum, MySims Kingdom, and Pop Cutie! Street Fashion Simulation.
PSP: Thrillville
I always loved RollerCoaster Tycoon, so it's no surprise that I loved this game as well. This is another game my best friend liked as well, so there was a time when we talked about it a lot. Honorable mention: Neopets: Petpet Adventures: The Wand of Wishing
Xbox 360: Viva Piñata
This was my brother's console, and I only really played this game on it. I liked it a lot though.
Nintendo Wii: Super Mario Galaxy
I loved this game as I love all 3D Super Mario games. Honorable mentions to Super Mario Galaxy 2 and Animal Crossing: City Folk. I never fully played though Galaxy 2, but I remember enjoying what I did play of it.
Nintendo 3DS (XL): Animal Crossing New Leaf
It's from one of my favorite series, and I spent a lot of time playing it. Honorable mentions to Super Mario 3D Land, Poochy & Yoshi's Woolly World, Pokémon Moon, and Tomodachi Life.
Nintendo Wii U: Yoshi's Woolly World & Super Mario 3D World
I adored Woolly World. Crafted World on the Switch was a bit of a letdown in comparison. 3D World is also super fun; I have the version with Bowser's Fury on the Switch. Honorable mentions to Pikmin 3 and Splatoon.
Xbox One: Kingdom Hearts 3 and Rare Replay
The only Kingdom Hearts game I've played, but I enjoyed it. Rare Replay is a nice collection of classics.
Nintendo Switch: Super Mario Odyssey
It has to be this. I've played through multiple times, and I always have a lot of fun with it. And the extensive list of honorable mentions are Animal Crossing: New Horizons, Pikmin 4, Splatoon 2 & 3, Luigi's Mansion 3, The Legend of Zelda: Breath of the Wild, Super Mario 3D World + Bowser's Fury, Super Mario 3D All-Stars, Disney Dreamlight Valley, Super Mario Bros. Wonder, and Pokémon Legends: Arceus.