I say Nintendo...
GameCube was first console to have wireless controller, add-on that allowed you to play Gameboy games on TV and usage of GBA by linking to GC which allowed cross platform local multiplayer or even act as a secondary screen like DS.
Wii introduced a fully fledged controller with motion controls, first built in web browser into a console which also played videos and first console to have WIFI also allowed SD cards for expansion of storage.