Is there a way in Webflow to create a background like that seen here on Webflow's 3D Transform page? I'd like to create something similar to the floating boxes, but have it be floating "paper" instead.
Yes. It's all done with the 3-D transforms. There are tutorials for all of the options. Instead of having cubes, you'll just have a 2-D effect that rotates and moves along a path. You'll need to watch the tutorials they provide on that page how to accommodate making your floating paper, but it is possible.
Check out this post for links to Webflow feature sites: http://forum.webflow.com/t/list-known-share-links-for-official-webflow-sites/27278?u=samliew