Here's a quick and easy origami project: a business card case or gift card holder. Use patterned gift wrap (I like heavier-weight wrapping paper for a sturdier case), graph paper, a paper bag, magazine pages, or origami paper. Decorate the case with washi tape or stamps for a cute way to present gift cards. It will look like you put a lot of thought and effort into a gift that was probably the easiest thing you could buy. Slacker.
Just kidding. Sometimes gift cards are the very best present.
To make a holder for a standard 3.5 x 2" business card, start with an 8.5" square of paper. For a standard gift card, use a 9" square.
Place the paper pretty side down. Fold the sheet in half vertically and open it back up.
Fold the left and right edges inward to meet the center fold.
Open the paper again. Fold each corner inward so that the corner points meet the nearest crease.
Close the left and right flaps.
Turn the paper over and fold the top down so that the exposed diagonal edges meet precisely at the fold.
Fold the bottom up in the same way, tucking the bottom edge into the diagonal flaps. They should overlap slightly.
Insert a card to make sure it fits, then fold the case in half. All done!
To make a fabric version of this case, see this post.