Most cultures and religions know one or more Moon Goddesses:

 

Arianrohod

Celtic

Moon Goddess

Artemis

Greek

Moon Goddess of the Hunt and Births; equivalent to Diana

Bast

Egyptian

Moon Goddess of Love, Fertility, Sex, Dance, Music and Joy; also patroness of Cats

Diana

Roman

Goddess of the Waxing Moon; equivalent to Artemis

Hecate

Greek

Goddess of the Dark Moon; patroness of witchcraft and magic; Goddess of the Underworld.

Freija

Scandinavian

Moon Goddess of Predictions

Isis

Egyptian

Queen of Goddesses; is depicted with the phases of the Moon in her hair

Luna

Roman

 Patroness of the Months

Selena

Greek

Goddess of the Full Moon