Olympians :

Aphrodite. (Venus) - goddess of love and beauty

Apollo. (Apollo)  - god of the arts (esp. poetry and music), archery, and divination

Ares. (Mars)  - god of war

Artemis. (Diana)  - goddess of the hunt and protector of children

Athena. (Minerva)  - goddess of wisdom, war, and crafts; patron of Athens

Demeter. (Ceres)  -goddess of agriculture and fertility

Dionysos. (Bacchus)  - god of wine, mysteries, and the theatre

Hephaistos. (Vulcan)  - god of smiths and metal-workers

Hera. (Juno)  - goddess of marriage; consort of Zeus

Hermes. (Mercury)  - god of merchants; messenger of Zeus

Poseidon. (Neptune)  - god of the sea and earthquakes

Zeus. (Jupiter)  - god of the sky; ruler of Olympus
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Chthonians:

Erinyes. (Furiae)  -also known as Furies, these were female spirits who exacted vengeance against those who committed specific crimes

Hades. (Pluto)  - god of the Underworld and ruler of the dead

Hekate (Trivia)  - goddess of magic; an alternate spelling of her name is Hecate

Persephone. (Proserpina)  - goddess of the Underworld; wife of Hades; also known as Kore (the maiden)

Thanatos. - god of death

Rheia  (Rhea)  - mother goddess who bore the deities Hestia, Demeter, Hera, Hades, Poseidon, and Zeus to Kronos

Tethys  - goddess who gave birth to daughters who personified rivers; consort of Okeanos

Theia  - goddess who mated with Hyperion and consequently bore Helios, Selene, and Eos

Themis   -according to Hesiod, this goddess was the second wife of zeus and she conceived by him the Seasons, Lawfulness, Justice, Peace, and the Fates
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Free Spirits :

Amphitrite. - sea goddess; wife of  poseidon.

Asklepios  (Asclepius)  -god of healing

Boreas.   -god of the north wind

Dike. (Iustitia)  - goddess of justice

Eileithyia.  - goddess of childbirth

Eirene (Pax)  - goddess who personified peace

Eos. (Aurora)   -goddess of the dawn

Erebus   -personification of darkness

Eris. (Discordia)  - goddess whose name means "discord" or "strife"

Eros  (Cupid)  -god of love and desire

Eunomia   -goddess who personified discipline or good government

Fates  (Moirai in Greek, Parcae in Latin)  - goddesses who supervised fate; the poet Hesiod names them Clotho, Lachesis, and Atropos

Graces. (Gratiae)  - a trio of goddesses associated with aphrodite.

Hebe.  (Juventas)  - goddess who was a cup-bearer for the Olympian gods

Helios  (Sol) -  god of the sun

Hesperus  (Vesper)   -godess of the home and hearth

Himeros   -god of sexual desire; companion of  aphrodite.

Horae.  -a trio of goddesses of the Seasons

Hygeia  -goddess of health

Hypnos  (Somnus)   -god of Sleep; brother of thanatos.

Iris.  -goddess of the rainbow; messenger of hera.

Leto  - goddess who bore the deities artemis and apollo to Zeus

Morpheus. - god of dreams

Muses. - nine goddesses, each of whom embodied an aspect of the humanities and arts

Nemesis. - goddess of retribution

Nereus. - sea god who fathered 50 daughters - the Nereids nymphs.

Nike. (Victoria)   -goddess of victory

Nymphs. - female nature spirits

Nyx. - goddess who personifies night

Pan.  (Faunus)  - god of the countryside

Peitho  -goddess who personifies persuasion; often accompanies aphrodite.

Selene. (Luna) - goddess of the moon

Triton.  water god; son of amphitrite and poseidon.

Tyche (Fortuna)   goddess of fortune

Zephyrus  god of the west wind
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Celtic Britain - Gods and Goddesses:

Belatucadrus  -god whose name means "fair shining one"

Cocidius - god associated either with forests and hunting (linked with the Roman god Silvanus), or war (equated with Mars)

Condatis  -god who personified the joining of two bodies of water in the Tyne-Tees area of North Britain; also conflated with the Roman god Mars

Coventina   -goddess who personified a holy spring (that was reputed to have healing powers)

Cuda  -mother goddess

Latis  -goddess associated with water (and possibly beer as well)

Matres Domesticae an aspect of the three mothers, who were considered goddesses of the homeland (Britain)

Mogons  -god who was worshipped mainly in North Britain; his name means "great one"

Nodens -god of healing; he is related to the Irish god Nuadu

Sulis - goddess of healing, she presided over hot springs in Aquae Sulis (modern Bath); often conflated with the Roman goddess Minerva
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Celtic Gaul - Gods and Goddesses
Abnoba|-goddess of the hunt, similar to the Roman diana.

Andraste - goddess of victory

Belenus - god of light; his name means "shining one"

Borvo - god of healing; his name is associated with springs

Cernunnos - god of fertility and animals; referred to as the "horned one"

Damona - goddess of fertility and healing; her name translates as "divine cow"

Dispater - Roman god of the underworld; his cult thrived in Gaul also

Epona - goddess of horses

Esus - god equated with the Roman deities and mercury.

Nantosuelta - goddess of nature; the wife of Sucellus

Nehalennia - goddess of the sea

Ogmios  - gods of eloquence and knowledge; equated with Hercules

Rosmerta  - goddess who was the native consort of the Roman god Mercury; her name signifies "great provider"

Sirona - goddess of healing

Sucellus  - god of agriculture and forests; also a hammer god (his name means "good striker")

Taranis  - god whose name means "thunderer"; compared to the god jupiter.

Teutates  - god of war; roughly equivalent to the Roman god Mars
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Celtic Ireland  - Gods and Goddesses:

Aine  - goddess of love

Banbha  - one of the trio of goddesses who lent their name to Ireland

Boann.  - goddess of water and fertility; bore Oenghus to the Daghda

Brigit (Brighid) - goddess of fertility, healing, and poetry

Cian  - the father of Lugh

Cliodna  - goddess of beauty and the otherworld

Creidhne  - god of metalworking; one of the trio of craft-gods of the Tuatha De Danaan

Daghda  - god of the earth; leader of the Tuatha De Danaan

Danu  -  goddess who is a version of the Great Mother; mother of the Tuatha De Danaan

Diancech.  -god of crafts and healing

Donn. - god of the dead; the "dark one"

Eriu  - another of the three goddesses after which Ireland was named

Fodla  - third of the trinity of goddesses of Ireland

Goibhniu  - god of the smith; one of three craft-gods of the Tuatha De Danaan

Luchta   -god of wrights; one of the triad of craft-gods of the Tuatha De Danaan

Lugh.  -god whose name means "shining one"

Macha  - goddess of war and fertility; called "Macha the crow"

Morrigan  - godesses of war and death; had a triple aspect; wife of the Daghda

Nechtan  - water-god whose sacred well was a source of knowledge

Nemhain  - goddess of war and battle

Nuada. - one of the kings of the Tuatha De Danaan

Oenghus  - god of youth and love

Ogma  - god of eloquence and language

Tuatha De Danaan  - the Irish race of gods who descended from the goddess Danu; patrons of magic and arts
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Celtic Wales - Gods and Heroes:

Arianrhod  - goddess whose name means "silver wheel" (i.e., the moon)

Blodeuwedd  - a maiden of flowers created to be the wife of Lleu Llaw Gyffes

Branwen  - the daughter of Llyr

Dewi   -god who was represented by the Red Dragon, which has become the emblem of Wales

Don  - mother goddess; the Welsh equivalent of the Irish Danu

Govannon  - god of smiths & metalworkers

Gwynn ap Nudd   -god of the Underworld

Lleu Llaw Gyffes  - god who is the Welsh equivalent of the Irish lugh.

Llyr  - god of the sea

Mabon  - this son of Modron was a warrior

Math ap Mathonwy  - god of sorcery

Modron  - goddess whose name means "divine mother"

Pryderi  - son of Pwyll and Rhiannon

Pwyll  - he was the Prince of Dyfed and a hero in the Mabinogion

Rhiannon  - the wife of Pwyll

Taliesin  - a renown bard whose name means "shining brow"
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Roman Gods and Goddesses

Pantheon. - the major gods and goddesses of ancient Rome - this list includes the deities Juno, Jupiter, Mercury, and Venus

Numen. - spirits and "minor" gods who were extremely important to the ancient Roman people; Cupid, Janus, and Liber are examples

Etruscan.  - the word "strange" best describes the names of the Etruscan gods and goddesses - Fufluns, anyone?

Foreign.  - these gods were imported into ancient Rome from far-flung regions of the Empire; some examples are Cybele and Isis