Free band saw patterns are available on websites for ThisWoodwork.com, Woodworks-by-Donna.com and PSWood.com, as of January 2016. This Woodwork's site has templates for symmetrical and asymmetrical curved boxes with three drawers. A video demonstrates how to make one box and also offers illustrated tips.
The Band Saw Boxes page on Woodworks by Donna's site has a link to free directions and patterns for making small, simple gift boxes. The instructions offer variations, such as nesting boxes, interior compartments and drawers. PS Wood Machines has patterns for a deer decoration. Site users are able to download three options: scroll saw, band saw and large size.