animations (bad!):
Zooming/fade-in-out to home screen animation (blocks tapping on apps, 3d touch and sliding screens) (this input blocking was added in iOS9, it wasn't present in iOS 8.4.1)
Rubber-banding scrolling animation (blocks tapping, 3d touch)
Notification/Widget panel sliding animation (blocks tapping) those nice philips hue light scene widgets, yeap I need to tap more than once because many times it won't register due to sliding animation.
iOS9 folders animation (only tapping outside) (blocks tapping, 3d touch)
Back/Forward animation (blocks tapping, 3d touch) - example, Mail, tap inbox and tap first message fast, it won't register.
From lock screen to home screen animation: no 3d touch allowed (very important use case, whenever you take your phone out and unlock it, the transition to home screen does allow tap input during animation, which is good, but it doesn't allow 3d touch = bad)
#InputAllowed animations (good!):
Control Center (stuff like flashlight, camera are immediately available, no input blocking, good!)
iOS9 folders animation (only when closing a folder and immediately trying to open another)
Tapping home button when you are on a home screen other than page 1 - for example if you are in page 5 of your home screens, it brings you back to home screen page 1, but you can interrupt it and it will allow input during animation.
From lock screen to home screen animation: tap allowed, but not 3d touch(very important use case, whenever you take your phone out and unlock it, the transition to home screen does allow input during animation, which is good, but it doesn't allow 3d touch = bad)