This name of the mythological sister of Mars might be used for a girl born under one of the signs ruled by the planet Mars--Aries or Scorpio. She is the personification of the war cry.
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Alala is pronounced ah-LAL-ah, like Malala. A rare name in the modern world, it fits right in with all the trends double-L names like Leila and Lola.

Alala

Aletheia

Arae

Asteria is an Anglicized spelling of the Greek Astraea or Astraia, the goddess of justice and innocence.  She became the constellation Virgo, so all forms of this name would be especially appropriate for a child born in late August or early September.

Asteria

Aceso

Acheron

Acraea

Adicia

Aeceus

Aedos

Aeon

Alecto

Alexiares 

Alexiroe

Alke

Alpus

Amaltheia

Amymone 

Anaideia

Ananke 

Anatole

Anteros

Apate

Arce

Asterius

Asterope

Astris

Auxesia

Caerus

Capheira 

Cleodora 

Coeus

The name of a mythically handsome youth – loved by Selene, the moon, who bore him fifty daughters.

Endymion

Eidyia

Eleos

Elpis

Epione

Erebus

Erse 

Euros

Eurynome

Most contemporary English speakers will hear the name Lyssa as short for the long-popular Alyssa or Melissa. But Lyssa is a bona fide Greek mythology name, though not a very appealing one.
</br></br>The goddess Lyssa could not control her rage. Choose this otherwise soft and pretty name at your own peril.

Lyssa

Unusual and rhythmic, the feminine form of the ancient Greek Makarios or the Latinized Macarius, the name of several saints.  The modern Spanish male version of the name, Macario, is used in the US. 

Macaria

This is a rich, melodic shortening of the <a href="https://nameberry.com/girls-names">popular girls' name</a> Amelia that can stand on its own. There are several figures in Greek myth named Melia, most notably a daughter of Oceanus. The Meliae are nymphs associated with trees.


Melia

Maron

Melaena 

Meliite

Melpomene

Metope

Morus

Myrtoessa

Mystis

Paidia

Palioxis

Panacea

Pasithea

Tisiphone

Aurra's list "Greek Myth Names: Beyond Athena and Orion (WIP)" of 57 great name ideas: Alala - Tisiphone!

Greek Myth Names: Beyond Athena and Orion (WIP)

If you are passionate about mythology or have Greek heritage, why settle for a well known name such as Persephone or Iris? These names are inexplicably tied with mythology, but the following are unusual names with a history spanning millennia.  Goodbye, Apollo and Artemis, hello Elpis and Acheron. (I suggest looking up the pronunciation, but two important rules are that the 'e' at the end is always pronounced 'ee' and that the c makes a hard kuh sound like in car.)