This is how I store and organize my large dies. They fit in plastic shoe boxes on adjustable shelves. Of note is the fact that older shoe boxes are made of heavier plastic that seems to handle the motion of pulling the boxes in and out of the shelves better.
The organization and decor in this studio is highlighted in Scrapbook.com's free Get Organized Class.
The studio was also featured in the August 2014 issue of Where Women Create magazine.