A simple example would be a music player where the UI is a full screen block of solid color which recognizes swipe guestures to control playback. There's no reason to look at the phone because there's nothing to look at.
A bit more controversial would be Apple automatically dialing up the accessibility font size boost if the phone is moving faster than 10 mph. We may not be able to prevent people from using their phones while driving, but we can reduce the amount of time required to interact with their phone's UI by using easier-to-acquire font sizes and putting less text on the screen.