Arma is the name of a Hittite lunar personification whom some think is connected with the Greek god Hermes.
Reference: "Hittite Ritual at Sardis," by Noel Robertson. Classical Antiquity, Vol. 1, No. 1 (Apr., 1982), pp. 122-140.
In Greek mythology, the sun god was originally Helios (whence words like heliocentric for our sun-centered solar system) and the moon goddess Selene, but over time, this changed. Artemis came to be associated with Selene, just like Apollo with Helios. Apollo became a sun god and Artemis became the goddess of the moon.
Bendis was a goddess of the moon and hunt, associated by the Greeks with Artemis.
Source: "Balkan mythology" The Oxford Companion to World mythology. David Leeming. Oxford University Press, 2004.
Coyolxauhqui means "Golden Bells." Coyolxauhqui is the sister of the Sun god, Huitzilopochtli.
Heng-O was the mother of the 12 moons and 10 suns.
See Pantheon.org Heng-o and Heng-o and the Twelve Chinese Moons.
Lady Rainbow was a Maya old woman moon goddess.
See Maya Gods and Goddesses
Amen's consort was Mut. Together they had a son, Khons or Khonsu the moon god. His name means "the wanderer." He may have been believed to be capable of flying.
Other Egyptian moon gods:
Source: Hathor and Thoth, by Claas Jouco Bleeker.
MawuNationality: African, Dahomey
Also spelled Maou. Female.
MênNationality: Phrygian, Western Asia Minor
Mên is a Phrygian lunar god also connected with fertility, healing, and punishment. Characteristically, Men is depicted with the points of crescent moons on his shoulders. He wears a Phrygian cap. Mên carries a pine cone or patera in his outstretched right hand and rests his left upon a sword or lance.
Source: "Three Images of the God Mên," by Ulrich W. Hiesinger. Harvard Studies in Classical Philology, Vol. 71, (1967), pp. 303-310.
Selene or Luna
Luna in Latin.
Actually, Selene/Luna is a moon Titan (since she's female, that could be Titaness), and the daughter of the Titans Hyperion and Thea. Selene/Luna is the sister of the sun god Helios/Sol.
A Shinto moon god.
Yarikh or Yarih was the lover of Nikkal -- a Sumerian sun goddess.