The Eyegore Statues are large statues that have a single eye and two curved horns. When Link first encounter them, they stand still and silent. Once Link has shot them in their eye, they will awaken and jump around attempting to damage Link. Link can easily defeat this enemy by shooting it multiple times in its eye.
The Minish Cap
In The Minish Cap, Eyegore Statues appear frequently throughout Castor Wilds. They serve as blocking points, preventing Link from passing and navigating much of the region until after he acquires the Bow, also found in Castor Wilds. The statues later appear in the Fortress of Winds. After being activated with an arrow, they will take three additional arrows to defeat.
Eyegore Statue from Four Swords