Real weather and time
I think on the home screen, real outside weather and real time would be great. Also being able to customize the room your in at the home screen.
I was about to post this. I think just getting the time of day correct would be really nice. It's weird it's always evening time. Although it looks light mapped rather than real time lit. So that could cause issues.
I think there's generally a lot more could be done with the home screen.