Where did I say "invented"????
Nintendo popularizing and using these things in interesting ways are contributions to gaming.
Most of them weren't popularized by Nintendo.
Analog Stick - hard to say Nintendo popularized it when every controller for the last three generations, including Nintendo's with the Wii as the only exception, are basically clones of Sony's Dual Shock design.
4 button layout - something Nintendo hasn't consistently used themselves, developed at a time when SEGA was doing just as much in developing new controller tech (three button and six button pads).
Touch screen - Both SEGA and Tiger put out consumer products with touch control well before the NDS and the popularization of touch screen gaming was done by smartphones and tablets, not by the NDS which used a stylus for most well controlled games.
Gyroscopic aiming - Sony had this on the PS3, the Vita, and now the PS4. They put it in many popular titles while Nintendo was still heavily relying on the IR sensor to handle Wii targeting. At this point I can only think of two major Nintendo releases (Splatoon and BotW) that have gryo aiming as an option, meanwhile Sony made an entire first party franchise (Gravity Rush) built around the concept and put out Uncharted, Killzone, and Warhawk games with the feature as an option.
Accelerometer and IR pointer gaming aren't widely popularized mechanics and IR pointer interfaces predate Nintendo with SEGA having comparable success in the outset. One can debate who has serviced it better since, Nintendo with the Wii or SEGA, Namco, etc. with their far longer stint of lightgun shooter production.
Wireless controllers - Wireless controllers massively predate the Wavebird, the Gamecube wasn't successful enough to popularize shit, and besides, Logitech sold truckloads of their wireless PS2 (great) and Xbox (crap) controllers that gen. That was the real popularization of wireless, when Logitech's 3rd party controller began legitimately cannibalizing Sony's first party controller sales.
Analog triggers - The N64 didn't have an analog trigger. The Gamecube shoulder buttons aren't referred to by Nintendo as triggers and don't operate like triggers. The pressure sensitive L2/R2 on PS2 are comparably close to being a "trigger". Dreamcast was the first mainstream product to deliver real triggers standard and the first Xbox was what widely popularized triggers and made the rest of the industry adopt them.
Controllers:
Games:
2D platformer template
2D adventure game template
3D platformer template + Camera control in 3D
3D aventure game template + combat in 3d (z targeting)
4 player local multi
Structured narrative in games
Secrets in games
(probably missing tons here...)
All of this is fucking absurd and honestly pretty goddamn insulting to the hundreds of great game designers who predate Nintendo in the industry by about half a decade, and the thousands who have beaten Nintendo to many, many of these methods and design choices by months to years.
Other:
Memory on games (save states)
Handheld consoles
VR? (virtual boy??)
Quality control by platform holder
And nothing quite proves you have your head up Nintendo's ass like trying to argue the Virtual Boy as being first into VR.