Here is one I've been playing lately.
https://play.google.com/store/apps/details?id=com.MadDiamond.EcoClicker&hl=en_US&gl=US
I did this only using a file manager (The venerable Solid Explorer). I had a moment of terror when it ignored the files and started a new game but updating the game through the app store, then copying the files again, solved that problem.
It is. I keep forgetting to report that. I was able to figure out what game it is tho, and it wasn't just being blocked via marketplace shenanigans.
https://play.google.com/store/apps/details?id=com.TironiumTech.IdleZooTycoon
I'm pretty sure this was it. Idle Zoo Tycoon