I was playing on my HTC one remix, but I traded in my phone because the battery was damaged, so I moved my fallout shelter data to my sd card and put it in the new phone (exact same model). I redownloaded fallout shelter and even tried moving the data to internal storage, but my game isn't there. I've already had to restart twice because of the lack of cloud saving on this game.

I just got a new phone and I had my save data on my SD card an I had no problem loading my saved game data to the new phone. I don't know what I did right. I wish I could be more helpful.