They did invent the platformer, Miyamoto specifically - it was called Donkey Kong. Perhaps you've played it!
I might have. Have you heard of a little game called 
Pitfall? Now don't go and say Nintendo invented the 
modern platformer, because that's called "updating an existing genre", not creating a new one. 
Pitfall = first platformer.
And, they did invent the trading cards, that was way back in the early days of nintendo! 
 Nintendo didn't invent playing cards or trading cards; both were around since at least the 1300s.
Anyone else want some? Hmm?