I thought it would be interesting to see what is your favorite games from a per console perspective, because normally people are asked what is their favorite game overall, but I feel that each generation or console is different and can't really be compared. So here are mine so far:
NES: Super Mario Bros 3
SNES: Secret of Mana
N64: Mystical Ninja Starring Goemon
Game Boy: Metroid II: Return of Samus
Game Boy Color: Pocket Music
Game Boy Advance: Zelda: Minish Cap
DS: Final Fantasy III remake
Playstation: MTV Music Generator (Music 2000)
Playstation 2: Ys: The Ark of Napisthim
PSP: Star Ocean: First Departure
PSVita: Ys Memories of Celceta
Turbografx-16: Ys III: Wanderers from Ys
Atari 2600: Solaris
Atari Lynx: California Games
Sega Master System: Space Harrier 3D
Sega Genesis: Pier Solar and the Great Architect
Xbox: Halo 2
Xbox 360: Star Ocean: The Last Hope
Wii: Mario Kart Wii
Wii U: Super Mario maker
PC: Starcraft II: Heart of the Swarm
I did not include 3DS, PS3, PS4, Sega Dreamcast nor Xbox One, because there are way too many games on those platforms that I own but have not played enough (some are still factory-sealed lol), if at all, to judge, and I only have 1 Nintendo Switch game so far. But I would say that Mario Kart 7 ranks very high. And on SNES and PS1, close seconds would be Final Fantasy III (VI) and Star Ocean: The Second Story, with Chrono Trigger not too far behind Final Fantasy III/VI on the SNES
Overall, I would say my favorite game is Secret of Mana, with the PSOne version of MTV Music Generator (the PC version is c) not too far behind.
GameCube: Super Mario Kart Double Dash
PC: Age of Empires 2