For examples of atmospheric distortion of sunlight, a good search term is [sunset mirage](http://atoptics.co.uk/atoptics/sunmir.htm).

However, if the sun is high in the sky on a clear day, the atmospheric distortion is usually small compared to the size of any features of the sun. Most other stars, viewed in most optical systems, are true point sources of light, so *any* atmospheric distortion moves the entire image of the star.

This distinction between point sources and disk sources is sometimes given as an explanation of why stars twinkle and planets don’t. Unfortunately that’s a myth to begin with: the naked-eye planets will also twinkle, if the “seeing” is bad enough. Atmospheric distortion comes on a continuum, from twinkling stars to twinkling planets to green-flash sunsets.