Currently there are 51 native Telephoto Zoom lenses for Canon 1D X III and all of these lenses are autofocus (AF) type.
Canon 1D X III doesn't have a sensor based image stabilization system but 32 of these Telephoto Zoom lenses features optical image stabilization.
Since Canon 1D X III has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 21 Telephoto Zoom lenses with Weather Sealings.