Acacallis (Greek: Template:Polytonic) in Greek mythology is the daughter of Minos, king of Crete, and Pasiphae. According to a Cretan mythological tradition, she bore a son to Hermes, Cydon, the founder of Cydonia. Other traditions describe Cydon as the offspring of Acacallis and Apollo.
In retribution for her having an illicit relationship, her father King Minas banished her to Libya.
Another tradition relates that Acacallis and Apollo had a son named Miletus. Fearing her father's wrath she exposed the child, but Apollo commanded she-wolves to nurse it until it could be taken in and raised by shepherds. He grew up strong and handsome, and Minos was seized with desire for the boy. Miletus fled Crete to avoid being becoming the eromenos of the king, and went on to found the eponymous city, Miletus.
Still other traditions relate other sons born of her and Apollo, named Amphithemis and Garamas (in some stories, the first mortal born). Apollodorus calls this daughter of Minos Acalle (Greek: Template:Polytonic), but does not mention Miletus as her son.