^ What he said, but to reiterate:
Super AMOLED is only the type of screen producing the images. It is then covered in protective glass, the same as used on the front of the iPhone 4 and most capacitive smartphones.
It doesn't matter whether it's LCD, SLCD, AMOLED or Super AMOLED, they are all then covered in glass with the capacitive touch surface in it. And yes, glass breaks when dropped.
So LCD, AMOLED, etc are the type of pixels used, NOT the type of glass protecting them.
For almost all phones it's wise to get a good case to protect your phone from falls. The new glass type used on the Galaxy S known as 'gorilla' glass simply makes it much harder to scratch, but it will still shatter if hit from the side.
HTC Hero -> Samsung Galaxy S -> Samsung Galaxy S II -> Samsung Galaxy S III -> Samsung Galaxy Note II -> Samsung Galaxy S4 i9505