I want to try and pinpoint what causes the many crashes people experience in fallout shelter, if we can determine what these crashes have in common, we may be able to prevent at least some of them from happening.

I don't know if this will help but after I got a security update for my phone from AT&T yesterday my crashes stopped. That makes me wonder if it's something to do with the way security is setup for Android.

Crashing since the beginning. Everytime I open a menu, but randomly (building a new room, looking at the help pages, looking at my stock of armors and guns... blablabla))

There's no pattern here, the game is just buggy on android because I guess they tried to develop it faster or adapted it from the iOS and the coding is bad.