Among the big three, what company has come with the most innovations in gaming?

[Veknoid_Outcast]

Luke888 said:

Nintendo of course, in addition to what everyone else said, The Legend of Zelda was the first game on a console to let you save your game, I'm positive it's quite an important innovation

This alone is HUGE. In fact, I'd argue this innovation was the most impactful of all. Super Mario Bros. might have ushered in the modern video game industry, but The Legend of Zelda pushed that industry boldly into the future.