Easy-Weave Newsprint Basket -- not these baskets, but I'm thinking about the prospect of framing an entire children's grade of one project in newspaper. Like newspaper for the mat, and then construction paper for the frame.
DIY room divider made from "Old vinyl LPs!" Something similar maybe even with the wall paper you liked. We could get laminate sheets cut in stripes or squares this would probably be an easy an inexpensive project.