I would like to see this game further support mouse, keyboard and probably any game controller.
As it is now, I can only use the mouse for clicks, drags and drops. The keyboard can only be used to back out of menus and name dwellers.
One extra thing I'd suggest for these would be to use anything that helps zoom in and out of the vault, not like the pinching and stretching that you'd have to do on a touchscreen. The mousewheel or the minus and equals keys would work for this, or perhaps alt-clicking and dragging if that's supported on Android nowadays.