That's pretty much exactly my organization, instead of a big box I split them into smaller tubs. USB is further divided via labeled bags into USB A->C, USB C, Lightning, and "misc". On top of those I have a R/C car battery/charging tub and a home automation tub.

There are some 3d printer models for building grids of individual cable organizers (https://makerworld.com/en/models/946444-gridfinity-cable-org...) but I have too many cables and my collection is too dynamic to well-utilize something as static as that.

Large 4mil ziploc style bags are extremely durable and are about $0.26 each in bulk on Amazon.

I very much recommend them. As a bonus, you can label them if desired. (Print a label out, or slap some tape on there and write on that, or just stick a sheet of paper inside the bag and write on that)