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