Currently there are 21 native Telephoto Zoom lenses for Olympus E-M1X and all of these lenses are autofocus (AF) type.
E-M1X also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on E-M1X.
Since Olympus E-M1X has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 10 Telephoto Zoom lenses with Weather Sealings.