Since the improvements to Touch ID you see many people complaining that they press the Home button to see the lock screen to catch some missed push notification or check the time, and it instead unlocks the phone. The new Apple TV remote has a nice feature where the Apple TV itself dims the display when inactive, and “wakes” up brighter when you lift the remote. Obviously this is using the accelerometers in the remote. Wouldn’t it be great if the iPhone did this to reveal the lock screen?
If Apple made this relatively simple change to iOS, the iPhone could wake up the display when you lift it. To avoid wasting battery all the time by lighting up in your pocket, it should constrain it so that it only does this when the phone is facing up, and the movement was in the upward direction, or when the phone was perpendicular to the ground (in a pocket) and moved to be upward facing.