The Nintendo Entertainment System - I don't even know how that's debatable. Without this system, none of the consoles listed besides the Atari, which predates it, would have existed. And it's not just the systems, but the franchises that come with them.
No NES? Guess what:
No Mario.
No Zelda.
No Final Fantasy.
No Dragon Quest.
No Castlevania.
No Metroid.
No Sonic.
No Crash.
No Pokemon.
No Halo.
No Call of Duty.
No Uncharted.
No Last of Us.
Gaming as you know it today would not exist had this system not come out with the games that it had and taken off the way it did.
Now one might say that "someone else might have come along with a system of their own." True, but would that company have been AS successful? Would they have been successful at all? Or would they have failed miserably? Would they have had a franchise that would have done for the system and gaming, as well as be in the position that Mario is in now?
The PlayStation 1 and the Wii I'd say are 2nd and 3rd most important because they helped expand gaming's reach and appeal to incredible levels of popularity and different audiences. But those systems would not have been able to do that or would have even been made, had the Nintendo Entertainment System not come into fruition.
Hardware Comparison Threads:
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PlayStation/Xbox/Switch: 2022 Edition
PlayStation/Xbox/Switch Hardware Battle: 2021 Edition!
PlayStation 4/Xbox One/Nintendo Switch: 2019 vs. 2020
PlayStation 4/Xbox One/Nintendo Switch: 2018 vs. 2019
PlayStation 4/Xbox One/Nintendo Switch: 2017 vs. 2018
PlayStation 4: 2015 vs. 2016 vs. 2017