Alcyone was the wife of Ceyx, but the happy pair angered the gods by calling each other Zeus and Hera.  Ceyx's ship was sunk, Alcyone hurled herself into the sea, but then in sympathy for their grief the gods made the lovers halcyon birds or kingfishers.

Alcyone

Arcangela is a heavenly possibility if Angel or Angela isn't elevated enough for you. 

Arcangela

This name of the Cretan goddess of fertility is most popular now as the more melodic Ariana, but Ariadne has possibilities of its own. It first entered the US Top 1000 in 2014. The renewed interest in the name falls in line with the revival of other mythological names like Apollo and Athena. The trendy nickname Ari doesn't hurt either.
 In Greek mythology, she was the daughter of Minus who gave Theseus the thread by which he escaped from the labyrinth. After being deserted by him, she married Dionysus, the god of fertility, wine and drama

Ariadne

ARISTEIA

Aristella

Aristomache

Calista Flockhart opened the door to a whole flock of graceful and unusual Greek names like this. Some others are Calantha, Calla, Carissa, and Cassia.

Calandra

Calista Flockhart spotlighted this lovely Greek name that has a long future in the English-speaking world.  Kallista is another spelling; Calixta and Calixto are related.

Callista

This hyper-rhythmic name has two evocative references. In Greek mythology, she was an island nymph, a daughter of Atlas, who delayed Odysseus from returning home. It is also a genre of West Indian music, originating in Trinidad and Tobago and largely popularized in the States by Harry Belafonte. 
 Calypso was the name of Jacques-Yves Cousteau's research ship--and would make a highly dramatic, musical choice.

Calypso

Cassiopeia, the name of a mythological mother who became a stellar constellation, is challenging but intriguing, and has all those softening Cass nicknames available. And with all names Cass-related trending, Cassiopeia may be an unusual route to a stylish name.

With the rise of other otherworldly and mythical choices, from Apollo to Jupiter to Juno, Cassiopeia may just feel more possible for mortals now than ever before in its long history.

Some sources say the meaning relates to the cassia berry or tree, and may be "cassia juice," making this a botanical as well as a mythological name.

Cassiopeia

Cipriana

Cyane is a mythological Sicilian nymph who lived in a pool and whose name is an intriguing twist on the color name trend. 

Cyane

In the New Testament, Damaris was an Athenian woman converted to Christianity by St. Paul. Known for her charitable work, her name was a favorite among the Puritans. Having slid off the bottom of the Top 1000 in 2012, Damaris might be deserving of more attention by parents in search of a New Testament name that is unusual but accessible, especially since girls' names ending in 's' are coming back into fashion. 
 Damaris is a supermodel name via Damaris Lewis; it's currently a Top 100 name in Chile.

Damaris

Demetria is a dramatic ancient Greek earth goddess possibility with the star-studded nickname Demi. Young actor/singer/songwriter Demi Lovato was born Demetria, but contrary to common hearsay, Demi Moore was born Demi.
An even more unusual cousin name is the Cornish Demelza, made somewhat familiar via the TV series Poldark.
 You may be surprised to know that Demetria was on the Top 1000 list from 1964 to 1993, reaching as high as 479 in 1974.

Demetria

Echo, the pretty, resonant name of a legendary nymph, was the heroine of Joss Whedon's sci-fi series Dollhouse. Nick Hexum, of the band 311, named his daughter Echo Love.
 In the Greek myth, Echo was a nymph whose unrequited love for Narcissus caused her to fade away until all that was left was the sound of her voice. Obviously, a name with a lot of reverberations.

Echo

Though the tragedies of the Greeks and Eugene O'Neill that used this name are filled with incest and murder, Electra is still a brilliant choice. Isabella Rossellini chose the gentler Italian verson, Elettra, for her now grown daughter.


Electra

Eos -- that's pronounced with a short e like eros without the r -- is the Greek Titan of the dawn. Any ancient name with a sleek modern feel has definite revival possibilities. Eos could be an inventive way to honor grandma Dawn. 
 
Eos is also a Welsh bird name that is occasionally given to girls in Wales — pleasingly the nightingale, so this name covers both morning and night.

EUPORIA

EVANASSA

Evanthe is a pretty Greek name not often heard outside its native culture.  With its stylish Ev-begining, Evanthe could make an interesting choice if you're looking for a generic flower name.

Evanthe

Euthalia

This name's meaning derives from the material from which the mythical sculptor Pygmalion chiselled his ideal woman - she was carved from ivory. Pygmalion fell in love with his creation and Aphrodite, taking pity on him, brought the sculpture to life. The woman was named Galatea due to her incredibly pale skin. The Pygmalion myth was the inspiration behind the story of "My Fair Lady" starring Julie Andrews on stage and Audrey Hepburn on screen.

Galatea

HELIKO

Hermione's costarring role in Harry Potter has made this previously ignored, once stodgy name suddenly viable. Hermione could really take off once today's children start having kids of their own. 
 In ancient Greek myth, Hermione is the daughter of Spartan King Menelaus and his wife Helen; in pre-Potter lit, the name appears in Shakespeare's The Winter's Tale and in Walter Scott's novel The Fortunes of Nigel.

Hermione

Despite the possibility of gender confusion, the Hero in Greek myth was a woman. Myleene Klass got that when she chose Hero for her daughter, and Sam Taylor-Wood and Aaron Johnson used it as their daughter's middle--and we wouldn't be surprised to see more girls with this heroic name.
 In Greek legend young Leander swam across dangerous waters every night to court his beloved Hero. In Shakespeare's Much Ado About Nothing, Hero is the love interest of Claudio and cousin of Beatrice.

Hero

Kassiani, also spelled Kasiani or Cassiane, is an ancient Greek name best known as the name of a saint famous as a hymnographer. The Hymn of Kassiani, traditionally sung on Tuesday of Easter Week in the Greek Orthodox Church, is associated with fallen women. The 9th century saint Kassiani was supposed to be in love with the Emperor Theophilos, who rejected her when she proved to be more intelligent than he.
 
Virtually unknown in the U.S., Kassiani may well become more prominent along with the raft of similar names gaining new style currency, from the boys' names Cassian and Cassius to Cassia, Kasia and Keziah.

Kassiani

Persephone is the esoteric name of the Greek mythological daughter of Zeus by Demeter, the queen of the harvest. After she was kidnapped by Hades to be Queen of the Underworld, it was decreed by Zeus that she would spend six months of the year with her mother, allowing crops to grow, and six in mourning, thus accounting for the seasons.
 Despite the mixed message of her mythological past, Persephone has a light and lyrical aura, and pleasant associations with springtime and the harvest; she was also goddess of spring growth. Persephone was seen in the Matrix movies, played by Monica Bellucci, and could make an interesting replacement for the overused Stephanie.
 Persephone's meaning is in dispute: While some sources give it as the worrisome "bringing death," others indicate that's it's associated with dark blue and with speaking. Persephone was called Kore in childhood; in Roman mythology, she is Proserpina.
 Persephone is popular on Nameberry, ranking in the Top 100.

Persephone

Parents seeking a distinctive New Testament name might consider this one. Adopted by some Puritans in the seventeenth century, Persis was used in the William Dean Howells novel The Rise of Silas Lapham for the wife of the protagonist.
 In Romans 16.12 of the New Testament, Persis is a Roman woman who was an early follower of Christ, mentioned by St. Paul in a letter as "beloved" and having "worked hard in the Lord."
 Indian actress Persis Khambatta was Lieutenant Ilia in Star Trek: The Motion Picture.

Persis

Pherenike

This ancient name, belonging to a Byzantine empress, may be difficult to wear. The English variation Tiffany may be more wearable.

Theophania

The name of a Christian saint and a city in Ohio, Xenia is one of the more accessible and intriguing x names. It is the name of one of the Bond Girls--played by Famke Janssen in the film "GoldenEye." 
 
Sometimes spelled Ksenia to reflect the traditional Greek pronunciation (kseh-NEE-uh), Xenia is also pronounced ZEEN-ee-ah or SHEN-yah.

Xenia

Zosime

AlexandrianScrolls's list "Gorgeous, Rare Greek Gems" of 32 great name ideas: Alcyone - Zosime!

Gorgeous, Rare Greek Gems

Ancient Mediterranean girls names imported from the shores of Greece.