Built a set of three of these large storage cubbies over the last two weeks. Each one consists of two sheets of 3/4" plywood, a few trim boards, and some hardboard as a backer. All of the joints are dados, plus wood glue and finish nails.
The 1x4 "lip" in the front is to keep stuff from falling out as kids take their gear in and out.
The plans for these are available here: