Currently there are 1 native SuperZoom lenses for Fujifilm X-H1 and all of these lenses are autofocus (AF) type.
X-H1 also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on X-H1.
Since Fujifilm X-H1 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 1 SuperZoom lenses with Weather Sealings.