Yes, Nintendo has introduced many innovations to the market, but not everything you mention was introduced by Nintendo.

Fact checking time!!!!

Shoulder buttons - First apperared on Super nintendo. The SNES was also the first controller to have shoulders.

Triggers - First appeared on Sega Saturn 3D Pad. The Z-Button on the N64 controller is just a simple digital button. The triggers on the Saturn 3D Pad are analog responsive.

Thumbsticks - If you are talking Analog Joysticks, Nintendo was not first, The GCE Vectrex, Atari 5200 and the Bally Astrocade had analog joysticks way back when. If you are talking about Analog joysticks that just happen to have the Analog stick positioned to be accessed by the thumb...the Sega Saturn 3D pad actually arrived in several markets before Nintendo 64, although who really know who thought of it first, developed first, prototyped it first, developed software for it first, and then actaully manufactured and sold it first.

D-pads - First appeared on the Nintendo NES (and God bless them for it!)

Memory Cards - External Memory has been around since the TG-16 and Sega CD (at least). Sony Playstation had Memory cards before Nintendo. Sega Saturn had a Memory Catridge.

Vibration - Nintendo 64 Rumble pack was first.

Motion (power glove) - no arguement there. Although it should be noted the Power Glove was made by
Mattel, not Nintendo, and still sucked regardless.

Wireless - By what definition. I remember the Atari 2600 having wireless controllers available for it.

Well, they did crop the picture to not show the huge pile of money Gabe sleeps on!

Emulators?