If it is a pay once and you own it kind of thing and never requires internet access for anything, then you may be able to back IP the all and use it later. But most games have some online component that requires a periodic login to use. Same goes for a lot if software on desktops, though.
most games downloaded from boogle play don’t work without boogle play (and probably the account with which you bought them. They’re gone. :/
some games have alternative (email only or Nintendo) signIns that you can use to carry your data to a nonBoogle platform
So with, say, Minecraft; am i cooked?
Believe it or not but I bought Minecraft on play store years ago and refunded it for some reasons but to this day, I can still download it for free ¯\_(ツ)_/¯
You can check Fdroid (some paid apps like OSM+ are free there)
I do not think there is a way :/
Hope that there’s a modded version that doesn’t need play services. They exist for a fairly decent range of games. The less the game relies on an external server, the better the chance it’s out there.
For stuff that doesn’t have any need to check for play services, or verify anything, you can just copy off the apk file and do what you like with those.
Data is harder. Most games rely on Google backup. The ones that don’t, you may not be able to access to back up yourself. I dunno what the current options are, but it used to be that titanium backup on a rooted device could make a full backup to install on a different device. There was one that didn’t require root, I think it was called helium? But I never used it.