I just finished designing this (if I may say so myself) insanely cool pop-up chess set. Please forgive the boasting, I get a little hyper sometimes when I finish a project.
The board is a simple trellis which holds your paper pieces steady — and you can even fold it up while a game is in progress. When you’re ready to start playing again, open it up and all the pieces are in place! I designed the pieces so they would be easy and quick to make (no one would want to spend an hour on each pop-up when there are 32 of them to put together…). All you need is a pair of scissors. Fold, cut, fold again, and done!