Currently there are 7 native SuperZoom lenses for Olympus E-M5 II and all of these lenses are autofocus (AF) type.
E-M5 II also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on E-M5 II.
Since Olympus E-M5 II has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 3 SuperZoom lenses with Weather Sealings.