Games that personify/define a console to you

[PAOerfulone]

NES - Super Mario Bros.

SNES - Super Mario World

Genesis/Mega Drive - Sonic the Hedgehog 3 & Knuckles

Saturn - NiGHTS: Into Dreams

PS1 - Final Fantasy VII

N64 - Ocarina of Time

Dreamcast - Sonic Adventure

PS2 - GTA: San Andreas

Xbox - Halo

GCN - Super Smash Bros. Melee

360 - Halo 3

PS3 - The Last of Us Part 1

Wii - Wii Sports

Wii U - Splatoon 1

PS4 - Horizon: Zero Dawn

XBO - Halo 5

NSW - Breath of the Wild

PS5 and XBSX - Too early to tell.
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Game Boy - Pokemon Red/Blue/Green/Yellow

Game Boy Color - Pokemon Gold/Silver/Crystal

Game Boy Advance - Metroid Fusion

DS - New Super Mario Bros.

3DS - Fire Emblem: Awakening