I organized all my cables into like types and put them in gallon sized plastic bags to prevent all that intertangling, at least nominally. I still hardly go into that box though. It's still a pain in the ass, just less of one.
LPT: intertangeling only happens when cables are looped. Just put them together linke you would crumble a piece of paper and put them in your bottles. No more intertangeling
Same, except I kept all of each kind that have potential use, and set aside any that are technologically obsolete by over two decades so I could throw them out.
I store all mine in a closet door shoe keeper. Each pocket is 1 type. And I keep as many as will fit in that pocket except for a few special things I keep a ton of. PC power cables, Current USB, HDMI/DP