Earlier quoted context omitted.
And don't forget the rumble pack on the N64. It cracks me up that Sony still calls their controller the "DualShock", since that was a direct "2 is better than 1!" response to the N64 rumble pack. On the other hand, Sony's one-upmanship also added the 2nd analog joystick to controllers and that turned out to be incredibly important.
Well, when they added it, it was rather useless. I think I only played one game on the PSX that really used 2 sticks and that was Ape Escape. Only when FPS became a thing on consoles, the second stick was finally used in more than a few games. And when did this become the case? With the XBox?
I would credit Halo more than XBox for inventing/popularizing the good controller scheme for FPS games.