I have too much stuff for one lol. I use one of the hobby/tackle organizers for backup storage - screens, little glass pieces, replacement parts, mouthpieces, filters, adapters, cleaning parts, old grinders that I don't use anymore. Pretty much anything vaporizer related that I don't use daily gets held here.
I use a tray for everything currently in use - screens, silicone adapters, battery cases, grinders. And on the tray I use an old 1/8th glass jar from a dispo to hold brushes and other random things q-tips, dab tools, pokers.
Mine isn't really a box, more of a tray that I just pile most stuff on. I also have part of my workbench dedicated to my dab rig setup with enail and accessories and my stash tray sits right next to it.
I have a nice pile of things I grab with my hands. It usually consists of a Dynavap, a grinder, a dab tool, a torch lighter, an avb jar, and a 1.8L water bottle.