Eye Brutes are enemies featured in Phantom Hourglass.
These large cyclops enemies are first found on Dee Ess Island. They walk around rather slowly, using bombs or their fists to attack Link. A Boomerang can be used to stun these enemies in the back, but to defeat them, just launch an arrow into the enemies eye, followed by a series of sword slashes. They do have a lot of health though, so it might take a few cycles to defeat them.
Eye Brute from Phantom Hourglass.