Two Corinthian helmets. Archaic Greek, 7th-6th century BC, made of bronze.
These helmets, and other like them, are often referred to as "Corinthian" because they is worn by the goddess Athena on Corinthian coins. These masks pretty well cover the entire head, with only the eyes and mouth left exposed.
The second helmet shown has been distorted -as many of those dedicated at sanctuaries were. The Walters give the following description:
This piece of armor is an element of the hoplite’s panoply, which also included a breastplate, greaves, shield, spear, and sword. The nose-guard and cheekpieces of the undecorated, crestless Corinthian helmet left only the eyes and mouth of its wearer exposed. The small holes around the edge of the helmet anchored a leather lining that would have been sewn inside the helmet. This was the most common form of helmet among hoplites. This helmet may have been “killed,” or rendered unusable, by bending the cheekpieces outward. This type of distortion is common among helmets dedicated in sanctuaries.