The standard Windows Mixed Reality controllers came with all Win MR headsets except the Samsung Odyssey.
The Vive Wands are the motion controllers that come with the Original HTC Vive.
The Oculus Touch controllers are the motion controllers for use the with Oculus Rift VR headset.
Originally developed as competition for the Nintendo Wii controllers the Playstation Move controllers have now been repurposed as handheld controllers for the Playstation VR.
The Playstation VR Aim Controller is a wireless rifle controller to simulate a rifle or similar weapon within VR.