(Please forgive me in advance, I'm new to posting here and can't pull off the spoiler tag/embedded video trick.)
Yup, the eyes suck. Maybe it's because our eyes (or my eyes, at least) are very sensitive to touch, to the extent where a harmless eyelash can cause constant and painful aggravation. The thought of shoving something pointy in there... ugh.
I'm kinda cheating a bit with this contribution, because it's more of a style of death rather than an injury. However, many of the injuries people have listed, such as losing eyeballs or peeling faces, would probably cause either severe shock and/or blood loss, resulting in death. There's one scene (which causes physical injury) that has followed me ever since I watched it as a wee boy (well significantly younger than I am now). I am of course talking, about the 2005 King Kong scene. YOU KNOW THE ONE! WATCH THE HORROR AND TREMBLE!! https://www.youtube.com/watch?v=DTWYQhTT388 [Warning, if you have a fear of insects or other creepy-crawlies, maybe don't watch this.]
Sweet Jesus, I didn't even watch the whole thing now. Just... wow. It's like the gorram Zerg swarm! But they're all things that LIVE on this Earth. Makes you thankful for flamethrowers.