Currently there are 5 native SuperZoom lenses for Sony A1 II and all of these lenses are autofocus (AF) type.
A1 Mark II also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on A1 Mark II.
Since Sony A1 II has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 5 SuperZoom lenses with Weather Sealings.