Eyegore
The Eyegore was featured in Majora's Mask. These huge, hulking monsters lie dormant until someone approaches them. Once awake, they will stalk forward on powerful legs and fire beams at the offender from their single yellow eye. They will also slam the ground with their fists to send rocks flying at the enemy. When the offender has been warded off, they will quickly retreat to the point of origin and become dormant again. Eyegores can be stunned using the Bow, thusly leaving them open to further attack. Coincidentally, the Bow and the Hookshot can only be used to damage the brute when his eye's yellow. It is one of the more popular enemies on Majora's Mask, owing mainly to its appearance.
Quote from The Legend of Zelda: The Minish Cap Eyegore Statue figurine:
"Appears in Castor Wilds. They move when you put an arrow in their eye. No other attacks work. You can always just let them pass…"