My physical game library is meticulously arranged by platform > publisher > franchise > alphabetical.
My PC games are scattered all over my HDD with a dump of shortcuts on my start menu and desktop. The closest I get to organization there is in my external drive where I keep my emulation - and even that's just broken down into platform > system to make it easier to point my emulators to the proper folders, and everything inside is just dumped randomly. My steam library has three categories - the general default dump, "Never Ever" where I dump shit that I get in bundles or gifted to me that I don't want, and "original executables" where I shuffle off the steam listing to be ignored while I use a custom exe for mods/patches/shitlikethat.