This Hindi name for the fifth element, related to the male Akash which means "open sky," was used by Anne Rice in her Vampire Chronicles.

Akasha

This lovely name from Spenser's The Faerie Queene is borne by a character who represents married love. A related unusual-yet-usable choice: Amabel.

Amoret

Arabesque

A Quranic name for girls referring to signs or manifestations of the divine.

Ayat

This medieval sounding name is a modern invention, used in the video game Final Fantasy.

Ayleth

Babba

Babochka

Belden is a little-used surname-name that might work in this age of Belles.

Belden

Cedany

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

Cyane

A Damian relative and the name of an ancient Spanish pope with modern possibilities. 

Damaso

Obscure, though legitimate, name that could be used to honor a relative named Barton or Martin. 

Darton

Drexel is an occupational surname but the original meaning of what a person who "turned" for a living actually did is unclear: It may mean turning the soil or making hay or spinning cloth or creating decorative objects.  With the rise of the similar-sounding Dexter, Drexel might catch on.

Drexel

Eldrich

A warm-sounding word and virtue name used by the Puritans and still popular in parts of Africa, especially in the Favour spelling.

Favor

Ghislaine still sounds unusual to us, even though in France this name is dated. It can also be spelled Ghislain.
 
In the US, it is best known through association to Ghislaine Maxwell, the French-British socialite indicted in the Jeffrey Epstein scandal.

Ghislaine

A name with an obvious meaning, for a long time associated with Golda Meir, the fourth Prime Minister of Israel.  Nickname Goldie seems to be catching on in the celebrity community.

Golda

Hathai

A worldly and attractive choice for a child of any background. Two early New World explorers were Hernandos — de Soto and Cortés. 

Hernando

Like a large proportion of traditional Hawaiian names, Hoku can be used for both girls and boys.

Hoku

Sure it makes a big statement, but if you can call your child Wren, Robin or Falcon, why not also Hummingbird? This pint-sized jewel of a bird is a lovely connotation for the baby that's full of energy and spirit.

Hummingbird

More grown up than Jamie, but never given to more than 13 baby girls in the US per year (and that back in 1968). Modern parents prefer Jamie, Jameson or even James itself, as Blake and Ryan Reynolds chose in 2014.

Jamesina

Madrigal might be a pretty and highly distinctive choice for a child of a musical family--or for the parent looking for a less conventional path to the nickname Maddie than Madeline or Madison . Definitely more striking than Cadence or even the increasingly popular Aria.
 The word madrigal refers both to a medieval short lyrical poem and a form of vocal chamber music that originated in the Italian Renaissance. And on a compoletely different note, you may have heard it on the TV show Breaking Bad as the name of an industrial conglomerate.

Madrigal

Malu is a charming Hawaiian name chosen by ex-Talking Head David Byrne for his daughter. Malu might also be an abbreviated form of Malou, which is an abbreviated form of Mary Louise.  Malu or Malou might be a retro-chic nickname for a child given the family names of Mary and/or Louise.

Malu

Maroochy Barambah, an Australian singer, brought this name into prominence in Australia. 

Maroochy

Mirembe is a feminine Ugandan name stemming from the Luganda word "emirembe" meaning peace, quiet. In Luganda, Rs are pronounced similar to Ls,  so mill-EM-beh is an approximate pronunciation.

Mirembe

Modestina

Olalla

A name rich in Hindu tradition as the alternate name for the Goddess Lakshmi, the embodiment of beauty and charm; currently borne, appropriately, by model-actress-writer Padma Lakshmi. 

Padma

One of the Hawaiian names being discovered by stylish parents, especially Californians. 

Palani

This operatic Italian name -- it appears in Mozart's "The Magic Flute" -- is a more unusual route to the nickname Pam/Pammy. 

Pamina

Pazel's abbreviated version, Paz, is far more modern and attractive. 

Pazel

Old-fashioned enough to the American ear that literally no baby girls received the name in the US in the most recent year counted. Though might Pessa provide a more unique spin on Tessa? It certainly has a lovely meaning, one shared with Margaret.

Pessa

Pessye

Pierra

In France, pronounced PRO-spare, Prosper is a fairly common name; here it presents a worthy aspirational message for a child. 
 Prosper was the name of several early saints, including a noted fifth century theologian, St. Prosper of Aquitaine, and was a favorite of English Puritans.
 Prosper has strong associations with P.Merimee, who wrote the novel Carmen, upon which the opera is based. Prospers were also the protagonists of two other books, The Shining Company by Rosemary Sutcliff and The Thief Lord by Cornelia Funke.
 The Italian version, Prospero, is another attractive option, with ties to Shakespeare's magician character in The Tempest.

Prosper

Forget Patience and Charity: Here's a Colonial name (and sentiment) that seems perfect for modern times.

Prosperity

Made famous by Quvenzhané Wallis, the actress.

Quvenzhané

Rajani

One of many Spanish elaborations of Rosa. 

Rosalba

A popular Arabic name borne by a famed Lebanese actress and singer, could provide an intriguing alternative to Sarah. 

Sabah

Sabka

Sable is often associated with the Dynsaty soap opera, but it is actually a type of animal historically hunted for its fur. Sable is also used as a word for a warm, rich black color. Both associations carry hints of luxury.

Sable

Semiramis was the most important Queen of Assyria, who conquered much of Asia. Semiramis restored ancient Babylon and protected it with a high brick wall that completely surrounded the city. Then she built several palaces in Persia, reigned much of Asia Minor effectively and conquered Libya and Ethiopia. 

Semiramis also appears Babylonia mythology as the wife of Nimrod, who is sometimes also known as Ishtar or Isis

Semiramis

Shulamit--which has a variety of different spellings--is a serious-sounding Old Testament name that appears in the Song of Songs. Its common nickname is Shula, which is sometimes used on its own.  Toni Morrison used the sleeker variation Sula in one of her novels.

Shulamit

This name of an area in northern Greece, known in the era of Homer's Odyssey as Aeolus. It's the name of a character in the graphic novel Sandman, and could easily be adopted for a modern little girl.

Thessaly

Lúthien Tinúviel is an elf princess in J. R. R. Tolkien’s legendarium, who falls in love with a mortal
human, Beren, and chooses to become mortal herself rather than to live without him. Tinúviel is a
Sindarin name given to her by Beren, meaning "daughter of twilight" and therefore "nightingale".

Tinuviel

One of the less obvious newly plausible occupational names, could instill a sense of adventure in a child. 

Traveler

Trevares

Warrick has recently come into the spotlight as the character Warrick Brown on the TV show CSI. The more conventional spelling is Warwick, a medieval English noble name.

Warrick

Here too lies the danger of entitlement. 

Worthy

BabyMammie's list "Truly Unusual Names for girls and boys" of 51 great name ideas: Akasha - Worthy!

Truly Unusual Names for girls and boys

Usable names that most won't have heard of, for parents who want a child that is unique in every way.