Start with ¾" plywood that is twice as wide as the depth of the cabinet and as long as one side and top/bottom. I crosscut the top and bottom off of one end and set it aside. Then, using a ½" dado stack in my table saw, I cut a series of ¼" deep dadoes across the sides. Make the spacing between them uniform so that the drawers are interchange­able. Finally, rip the sides and top/bottom in half to separate them and assemble the cabinet however you please. If you want to hang it on a wall, attach a French cleat to the back at the top and a batten of equal thickness at the bottom.

The source above is not exactly a tutorial, but it gives you a basic idea of how the author built a Quirky Pallet Art to enhance the look of their old house. You can also find another tutorial at the link below. It shares a step by step procedure for making a wooden pallet sign. The final product is not exactly the same as the one above, but the basic idea is the same.
Woodworkers are a social bunch, and there are a few popular forums where people share thoughts on tools, discuss technique at length, and—of course—upload their plans. Some of the most active online woodworking communities include Lumberjocks, Woodworking Talk, Wood Magazine, WoodNet, Kreg, and Sawmill Creek. Search those to see if they have what you’re looking for (either with their built-in search tool or with Google’s site-specific search, e.g. site:lumberjocks.com side table).
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