I am not saying you need not get rid of your collection at all, not at all, all you have to do is rip your collection to a hard drive. I have a large collection of movies, television and some video games and lots of computer games on my shelf as well that I like to look at (although I have had to sell some on ebay to pay some of my credit card debt).
There is two ways to rip your DVDs and Blu Ray disks. First is via Image rip, this will rip the entire DVD to an ISO image that you can mount with various software and then there is ripping to video file usually MKV. Both ways are 1:1 quality with no loss and you can keep multiple audio and subtitle tracks.
These programs are invaluable to rip your video collection:
Rip to Image:
https://www.redfox.bz/en/anydvdhd.html This will save a perfect image of your movies to a ISO file.
Mounting the Image:
https://www.daemon-tools.cc/products/dtLite this will mount the image to a virtual Blu Ray drive.
Rip to video file:
https://www.makemkv.com/ This will make a uncompressed video file to watch with a media player, keeping the audio and subtitle tracks in the file and with no loss in quality.
This is a great Media Player that is free that can handle both DVD and Blu Ray disks as well as almost all Video files:
https://mpc-hc.org/
By all means I am not advocating downloading movies from the web, just converting your collection to use on your PC. This is also a great way to backup your media as well as it reduces wear and scratching on your media by not needing to pull out your disks over and over again.
If you are talking about emulation being digital, there are ways to find games you may not find out there to purchase, so you can relive your childhood with some retro games you may remember that you cannot find on Ebay. I am going to send you a PM with some info on Emulation.
You remind me of The Angry Video Gaming Nerd with his thoughts about emulation and his insistence of having the real games to play on his game systems. Yet not all people cannot afford to have 4000 games in their library.
I would love to have every Apple I/II/GS, C64, Amiga and MS-DOS RPG game in mint quality on my shelf but the idea of that happening is about the same as having Action Comics #1 in mint condition, so I have some Retro RPG games in digital format, some with PDF or TXT instructions. In all cases these game are considered abandonedware and public domain so they are very easy to acquire as long as you know where to find them.
Like I said I had to sell quite a few full boxed versions of some retro RPG games (some as old as C64, Apple II, Atari ST, Amiga and DOS) on eBay to pay some bills which sucks but I needed the money.