Ok, first how is your current space set up?
do you have a media room, or it it your bedroom or a multipurpose room?
I currently have like 500 dvd/blue ray, 200 cds, like 50 vinils, I would say like 200 video games (gamecube, ps3, ps4, xbox 360, xbox one, xbox series x)
for display here are my suggestions. all the games displayed in media shelves. The box designs of most are even enough to look good. some places online sell special boxes for cartridges for old games since many dont have a box anymore.I know it from here.
cd and dvd cases are a mess visually, no graphic design whatsoever. I have mine in drawers spine side up. a nicely filled drawer is sooo satisfying. plan b are this boxes for cd and dvd. (stackable, pretty enough for display but it can still hide part of the uglyness)
vinils are next to the turntable. they have their own storage that closes from the top and we put some pantry levels so it would look like a record store. dont know how to look for the name for that. Maybe some cute magazine holders can do the trick on that one.