Egyptian
Thoth
writing, moon, wisdom
Chinese tradition. See the whole pantheon.

The woman who took the elixir of immortality and rose to the moon. The Mid-Autumn Festival is associated with her, and the Chinese lunar missions are named Chang'e after her.
Deities in other traditions who share a theme with Cháng'é: the moon. This is overlap in one area only.
Egyptian
writing, moon, wisdom
Mesopotamian
moon, wisdom of time
Japanese (Shinto)
the moon, night
Aztec (Mexica)
the moon (by interpretation)
Roman
the hunt, the moon, childbirth