Final answer:
The villages authorized to produce grapes for Commandaria wine in Cyprus include Apsiou, Ayios Pavlos, Chandria, and Doros.
Step-by-step explanation:
The villages that are authorized to produce grapes for the traditional Cypriot wine Commandaria are numerous, and they are all located within the designated Commandaria region of Cyprus. Here, in alphabetical order, are a few of them: Apsiou, Ayios Pavlos, Chandria, and Doros, among others. These villages have a historic association with the production of Commandaria, which is known to be one of the oldest named wines still in production.