If you are willing to do a bit of research, there are easily hackable models of PS3 and PS4 and then you can put dumped games on them even if the official store is gone and there's none already on there. Then you just need to worry about getting the cables and controller. On that note, modding consoles tends to make it easier to use more controllers with them by bypassing the auth. I can use all sorts of modern and DIY controllers on my modded Xbox 360 and PS3, so even when the world runs out of working original controllers, they'll be useful. Being able to play game dumps off storage also means a failing disc drive is a minor issue.
