I'd say NES generation because that basically started all. Nintendo decided that you have to play with a controller with a Dpad on the left and buttons on the right side with a Select and a Start button in the center of the controller and it made games like SuperMarioBros and Zelda (first game ever with savegames) etc.
Nintendo also made portable gaming a mass phenomenon thanks to the gameboy.
Then comes the N64 era becaue it came up with rumble analog controls and lay the foundation of how 3D games have to be made (Mario 64, Zelda OOT which invented the lock on system etc)
Then comes the Wii DS era with motion and touch controls for gaming.








