Currently there are 5 native SuperZoom lenses for Sony ZV-E1 and all of these lenses are autofocus (AF) type.
ZV-E1 also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on ZV-E1.
Since Sony ZV-E1 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 5 SuperZoom lenses with Weather Sealings.