1. Children of the Primordial Deities: In the beginning, there were primordial deities who were the first beings to exist. These beings include Chaos (void), Gaia (earth), Tartarus (the abyss), Eros (love), Nyx (night), Erebus (darkness), and Aether (air). These primordial deities gave birth to the first generation of gods and goddesses.
2. Offspring of Titans: The Titans were powerful deities born from the union of Gaia (earth) and Uranus (sky). The twelve Titans include Oceanus, Rhea, Cronus, Iapetus, Hyperion, Theia, Phoebe, Tethys, Earth, Coeus, Crius, and Mnemosyne. The Olympian gods and goddesses were the children of the Titans.
3. Zeus's Children: Zeus, the king of the Olympian gods, fathered numerous children with various goddesses and mortal women. His children include Hera (goddess of marriage and childbirth), Poseidon (god of the sea), Hades (god of the underworld), Aphrodite (goddess of love and beauty), Apollo (god of music, arts, and prophecy), Artemis (goddess of the hunt and wilderness), Ares (god of war), Athena (goddess of wisdom and war), Hermes (messenger god), Hephaestus (god of fire and metalworking), and Dionysus (god of wine and pleasure).
4. Children of Other Deities: Many other gods and goddesses were descendants of various deities. For example, Helios (sun god) and Selene (moon goddess) were children of Hyperion, while Eos (dawn goddess) was the daughter of Hyperion and Theia.
5. From Natural Phenomena: Some gods and goddesses were personifications of natural phenomena or abstract concepts. For instance, Aeolus (god of the winds) represented the power of the winds, while Nemesis (goddess of retribution) embodied divine vengeance.
6. Metamorphoses: In certain myths, gods and goddesses could transform themselves into different forms or beings. For example, Zeus took the form of a bull to abduct Europa, while Apollo turned into a dolphin to rescue Arion.
7. Unions with Mortals: Some deities had relationships with mortals, resulting in the birth of demigods or heroes. These demigods possessed extraordinary abilities and played significant roles in Greek mythology.
It's important to note that these origin stories vary among different Greek myths and traditions. The formation and lineage of gods and goddesses could differ based on the specific version or interpretation of Greek mythology.