Roll up and put each individual cable in a zip lock bag of its own. Each cable is isolated in a single bag so there are no tangles to deal with or zip ties to constantly tie and untie.
Then store similar zip lock bags in clear plastic shoe boxes with a label on the front. With like cables stored together in each bin, you can instantly hone in on exactly what you're looking for without having to recall exactly where you put each type of cable. For larger cables such as video cables you can use jumbo size bags but they store fine by themselves directly in the bins and aren't as likely to tangle as thinner cables.
A box of 25 zip lock bags cost me about $1 at the nearby dollar store (Dollar Store, Dollar Tree) and the bins were less than $3 each at Home Depot or any organizational store.
*Unplggd previously posted a great roundup with additional great tips for how to keep your tech supplies organized using everyday items.