"My husband will never let me get goats," my cousin once told me. "He thinks they have creepy eyes."
Since goats spend a lot of time grazing things that grow on the ground, or browsing into low shrubbery, they need eyes that will help them see above and behind them while they eat. Grazing animals can rotate their eyes 10 times further than humans can, allowing them a wide field of view. And those oddly shaped eye slits allow them to keep their eyes parallel to the ground, no matter what position their head is in.*
It is hard for one to sneak up on a goat, and they can thank their unusual eyes for that. And that cousin I mentioned earlier? She has two pretty new little doelings at her house. I bet her husband will learn to think their eyes are lovely.