There were a couple of stories in the old forum (archived here:
https://www.mobileread.com/forums/forumdisplay.php?f=242) about breakage. I remember one person broke a screen and was trying to get it replaced. Someone else in this forum (jackr??) lost the backlight on his LCD somehow. Cheyennedonna had something disastrous happen to her year-old EE (old forum).
I am like the others and keep my eDGes as safe as I can: screen protectors on all screens (old forum: someone ripped a screen with his stylus), skins on all outer and some inner surfaces and a padded carry bag for when I'm out and about. Still, I worry when I pick up my PE one-handed or tuck it firmly under my arm and hear the plastic "pop" a little.
Just bought an EE -- having fun shopping for a skin.