CDs or game discs, yes, but cartridges (like NES, SNES, N64), no. Usually cartridges come in cardboard boxes, which never stay intact for long, but CDs and discs come in relatively sturdy plastic cases, so I keep them in those. Some of the older ones like for PlayStation 1 and 2 have been moved to a CD binder, though I haven't touched those in well over a decade.

And hey, I still have my original NES and Game Boy games. And yes, blowing on the cartridges is a thing, believe it or not. XD