Not to be confused with New Etrian Odyssey: Millennium Maiden from Atlus, Square Enix filed a trademark for Millennium Hero in Japan. Siliconera also dug up a trademark for Hagun Student Council. Hagun is a combination of the kanji for rip apart and army so this probably won’t be for a dating sim.
Both games sound like they aren’t related to Final Fantasy or any existing Square Enix series. I’m curious to see what these are even if they are social games. Kaku-San-Sei Million Arthur has done fairly well for Square Enix. It’s a spin on the Arthurian legend meets a card battling game that Square Enix ported to PlayStation Vita.