Minos’s name day is November 11, the feast of Menas the Great Martyr.
Churches that follow the Old (Julian) Calendar keep the same feast on November 24 of the civil calendar. See everything commemorated on November 11.
The saint behind the name
Menas the Great Martyr
November 11, Martyr, Μηνάς ο Μεγαλομάρτυς
Saint Menas was an Egyptian soldier in the Roman army in the late third century. When Diocletian's persecution began he left the army and lived in the mountains in prayer, then returned to Kotyaion in Phrygia and openly confessed Christ during the games.
Also celebrating on November 11
These names share the feast, many of them other forms of the same name:
What to say on a name day
The Greek wish is Χρόνια Πολλά (Chronia Polla), “many years.” A call or a short message on the day is what people remember. See name day wishes you can send and what a name day is.