Let's see...I might be missing a few, but it's probably like this:
Game boy: Zelda: link's awakening (the oracle games count as GBC). Reason: childhood nostalgia
Gameboy advance: Mario versus donkey kong. Reason: I find myself coming back again and again.
SNES: erm...probably Tetris attack or Lost vikings. I just like these sorts of puzzle games
Arcade: Teenage mutant ninja turtles (konami...not the 'turtles in time' one). Beat 'em ups were a blast to play co-op with my friends, and this (alongside the Simpsons one) was just the best one. Runner-up in this category is a game called "vendetta", btw.
PC: UT2004 with rocksmith 2014 remastered as follow-up (or even the inverse). They're both the pinnacles of their genre.
Gamecube: F-zero GX
Wii: this is a really tough one, as it was so versatile. I'll go with one of these three:
-wii sports resort: ideal party game
-sin & punishment 2: forget sword fighting, bowling and such...THIS is the game ever that made use of the wiimote & nunchuck.
-wii fit plus: you can laugh all you want, but I really liked some of these balance games (I nominate this one over the wiiu version because even though that was about the same thing but more...it missed snowboarding
).
Wiiu: Captain Toad. There is something incredibly charming about these puzzly levels. Also: a 3D platformer without jumping is something that there should be more of.
Android (phone): patchwork. Digidiced makes a lot of great virtual board games, but this is their masterpiece.
Android (tablet): race for the galaxy. While it's just a virtual version of a card laying game, I still find myself playing another round of the game well after a year after I first played it. Runner-up: 'a good snowman is hard to build'