Baskets and bins from the dollar store make it easy to keep counters free of errant objects, and larger plastic bins from hardware and home improvement stores make a great storage containers for shoes and bulkier items. See thru plastic bins are great when you store them, cause you can see whats inside (or at least a general idea).
I’m not a fan of the boxes except for using them for projects. As for storage they can break down if they get wet, or chewed through by an errant rodent. If not packed right, they can bust apart.