I made a box to hold a laser cut Carcassonne set that I have previously made.
I used the mitre saw to cut mitre joints into a piece of wood. Then I used the circular saw to cut slots for the top and bottom multiplex boards. After gluing the box together I used the circular saw to separate the lid and chiselled out holes for the fabric hinges. These were glued in and covered with some of the removed wood. Finally I added some dividers to organise the pieces inside the box and laser engraved a logo which was inlaid in the lid.
Cut pieces 
Separated lid and base 
Glued in fabric hinges 
A fabric hinge 
The finished box, logo, and game pieces
Mike