This forum thread has a lot of suggestions: https://boardgamegeek.com/thread/1147576/storage-solutions
A lot of people use Plano Fishing Tackle boxes.
There are also custom boxes from craft stores.
http://www.michaels.com/bead-organizer-carrying-case/10468277.html#q=bead&start=22
Zen Bins are a storage option for cards and dice that was designed specifically for Dice Masters.
Wizkids Team and Collector boxes are also available.