Currently there are 22 native Standard Zoom lenses for Canon 5D MIII and all of these lenses are autofocus (AF) type.
Canon 5D MIII doesn't have a sensor based image stabilization system but 9 of these Standard Zoom lenses features optical image stabilization.
Since Canon 5D MIII has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 8 Standard Zoom lenses with Weather Sealings.