In my short film, 'A Truncated Story of Infinity', I used green screen for a variety of techniques. One of the shots includes a camera push into what appears to be an infinite mirror. This shot in particular used a similar green screen in a picture frame that is used in the Skillshare class. We pushed the camera into the green screen frame until it filled the frame. Later the same shot was duplicated and motion tracked into the picture frame to create the appears as if we're continually pushing into the same image.

"A Truncated Story of Infinity"

The opening shot of the film along with the shots at 1:28, 1:52, 3:09, 6:56 and 6:59 all use the green screen effect but in different ways. This should give you some ideas of how you can find new and creative used of green screen that help amplify your story.