In the case of The Odyssey, the females characters we encounter are either human, or supernatural (goddesses, nymphs, witches, etc.) These share some characteristics, though they are also different in various ways. In terms of human women, the most prominent one is Penelope. Penelope is Odysseus's wife, and she is extremely honest and loyal to her husband. She is also clever. In terms of superatural characters, we find women such as Athena, Circe and Calypso. These are women who are strong and powerful. They know what they want, and the power they have, and they use it over Odysseus.
In terms of Orpheus and Eurydice, the main female character is that of Eurydice. The myth focuses a lot more on Orpheus than his wife, which means that we do not know much about this character. However, we do know that she was a good woman according to Greek values, and that she was extremely in love with Orpheus.