These words all describe a person's eye colour using the same '[colour]-eyed' compound pattern. Blue-eyed is the most common of these in English, partly because blue eyes are historically seen as striking or noteworthy in many cultures. Brown-eyed is the most neutral and statistically common descriptor, since brown is the most frequent eye colour worldwide. Green-eyed is less common and sometimes carries a poetic or envious connotation ('green-eyed monster' for jealousy). Dark-eyed is a broader term covering both brown and black irises, often used in literary descriptions. Learners should note that the hyphen is essential in attributive position: 'a blue-eyed woman' not 'a blue eye woman'. Outside of this compound pattern, you can also say 'She has blue eyes' — which is simpler and more common in casual conversation.
Blue-eyed is a compound adjective formed from 'blue' (from Old English blǣwen, meaning the colour blue) and 'eyed' (from Old English ēaġe, meaning eye). The compound has been used in English since at least the 1500s to describe a person's appearance. Over time the pattern '[colour]-eyed' became productive, producing brown-eyed, green-eyed, dark-eyed, and others.