I think there are two areas where phone cameras have a lot of room for improvement: sharpness and landscape.
By sharpness, I mean that if you zoom into any phone picture, it falls apart very quickly. There is a lot of software optimization hiding how a small sensor can’t actually do that well in the details.
By landscape, I mean if you take a picture of a mountain or object in the far distance, you’ll barely be able to see it in the phone because the lenses are so wide. It really makes nature pictures underwhelming :)