It won't take long to make this easy pillowcase. French seams are used to contain the frays along the side and bottom of the case, and a folded-over cuff does the trick at its opening. The steps to create enclosed seams might seem confusing if you've never used either technique, but the methods truly are simple.
Make a novelty pillowcase for a child or adult, or stitch cases that coordinate with a quilt. Use the pattern to become accustomed to the basic construction method, and then try a string pieced or patchwork cuff.