I took screenshots, and really looked forward to posting them, however it wont let me post URLs for some reason (how do I post images?). Well here are a couple things I have run into frequently. Going to main menu and reloading the vault has fixed all of these issues, but they are a bit too frequent to have to keep loading the game, and that just adds to the annoyance.
1. Invisible dwellers
2. Health Bar not disappearing on multiple dwellers making visibility in training rooms near impossible.
3. Name of space not disappearing
Also I found 2 exploits within the game, 1 of which is a very major exploit. I am not sure where to report them, and I don't plan to report them on this public forum.
Also I noticed some players on these forums (probably vocal minority) complaining about the some aspects of the game being overpowered, and I couldn't disagree more. I think it is perfect in terms of balance, and this is coming from someone brand new to the game. I have successfully killed death claws, mole rats, rad roaches, and raiders dozens of times, but not without casualties... and that should be expected. I have even had major outbreaks of these events, but experience has made me smarter and there is definitely strategy, which is crucial to the success of my experience with this game. Maybe have a difficulty setting for those less inclined... but I personally am excited for the next set of challenges in future updates and hope you keep up the challenge.
Please keep up the great work, this game truly is awesome. I enjoy it more than Injustice on my phone now.