Each president represents a great shift/transformation/evolution of the USA.

The same should apply to the video-game one
>Mario, but it's Super Mario 64 representing the great 3D shift
>Gordon Freeman, representing the great shift to narrative focus in gaming
>Steve Minecraft, Biggest game of all time, the ultimate sandbox
>Quote from Cave Story, bringing game development to the masses and surging the great indie revolution

Master Chief might deserve a place since it is the great shift to focus on online multiplayer