Abra is soft, sensitive feminine form of Abraham that was the name of a soft, sensitive character in the John Steinbeck book and movie, "East of Eden."  In the bible, Abra was a favorite of King Solomon and it was a popular name in seventeenth century England.
Abra is also a West African name used for girls born on Tuesday. The magical 'abracadabra' is thought to have originated in the Aramaic language.

Abra

Allis

Amari is a name that's rising in popularity for both boys and girls in the US, used last year for about 2000 baby boys and 1000 baby girls. It's among the Top 20 gender neutral names.

The range of cultural origins and positive meanings adds to its appeal.

Amari

Ara is a <a href="https://nameberry.com/boys-names">unique boys' name</a> that one of the most melodious in the Armenian name pool, familiarized by Notre Dame football coach Ara Parseghian. In Armenian mythology, Ara was a king so handsome that a rival queen went to war in order to make him her own. The name Ara is also known in the Arabic and Hebrew cultures.

Aram is a popular Armenian name with a pleasing sound that became known in this country through the works of William Saroyan, namely the 1940 book of short stories, My Name in Aram, centering on Aram Garoghlanian, a boy of Armenian descent growing up in Fresno, California. Saroyan also named his son Aram. 
 Aram appears in the bible as a son of Shem and grandson of Noah; it is also a biblical place name. In addition, Aram is the third day of the month in the Armenian calendar.
 A well known bearer is Aram Khachaturian, the Armenian composer.

Aram

Arlen is a surname long used as a first name: It ranked on the US Top 1000 from the late 1920s until the late 1960s. Originally, Arlen was a variation of Harlan which came from Harland, a place-name which means "hare land" – a place with lots of rabbits. The name today is occasionally used for both genders, boys twice as often as girls. That may increase with the fashion for two-syllable n-ending boys' names.

Arlen

A short but strong biblical name with multicultural appeal, Asa is enjoying new visibility thanks to hot young actor Asa Butterfield of Hugo fame. 
 Asa was the name of an important biblical king of Judah, who reigned for more than forty years. In modern times, the name was long associated with the strong patriarch Asa Buchanan on the soap opera "One Life to Live," but since the character "died" in 2007, this gives the name plenty of room to rejuvenate. Popular with the Puritans, Asa can be found in the novels of James Fenimore Cooper and Theodore Dreiser. 
 A notable real-life namesake is the highly influential botanist Asa Gray, and Asa was the birth name of Al Jolson. Radiohead's Colin Greenwood has a son named Asa. 
 Asa could also be a path to the hip nickname Ace or an alternative to the rapidly rising Asher.

Aura has an otherworldly, slightly New Age-y glow, but is beginning to sound more more like a legitimate name. In Greek and Roman mythology, Aura was the Titan of the breeze and the fresh, cool air of early morning. But at odds with her peaceful, well, aura, the mythological Aura is a tragic figure, ultimately transformed into a fountain by Zeus.
 At the end of the nineteenth century, Aura was not that unusual: she reached Number 511 on the Social Security list in 1882. Princess Aura was a character in the old comic strip Flash Gordon.
 Aura is currently popular in some areas of Central America. And for the first time since 1901, Aura has joined the US Top 1000 for girls in 2023.

Aura

Aya, barely more than a breath, is an international favorite, with origins in several languages and cultures. Popular throughout Europe, It debuted on the US Top 1000 in 2012.
 In the entertainment industry, Aya has two international bearers: Aya Korem, an Israeli singer-songwriter, and Aya Liu, a Taiwanese actress. And actress Hilary Swank named her twin daughter Aya (and her son Ohm).
 
Aya is also a Danish name (a creative spelling of Aja) and is a highly popular choice there.
 In Arabic, Aya meaning "sign, evidence" or "verse" and is a popular name in the Muslim community.

Barrett is one of many surname names that are up and coming for boys in recent years. Barrett joints Bennett, Beckett, and others in the trend of "-tt" ending boy names taking over the charts. 

Barrett first experienced a small bout of popularity in the 60s and 70s, but never quite cracked the Top 500. However, since 2000 Barrett has been rising quickly, and is now officially in the Top 200. 

Barrett has a pleasing sound and literary association with poet Elizabeth Barrett Browning, and would be a fresh way to honor a grandpa Barry.

Barrett

Bellamy is a surname name with an admirable meaning and upbeat rhythm, similar to jovial choices like Rafferty, Barnaby and Willoughby. 

 Bellamy is rising simultaneously for boys and girls at the moment, making it a truly gender-neutral choice. It entered the Top 1000 for girls for the first time in 2018, before dropping out in 2019 and entering for boys. Since 2020, Bellamy has finally been in the Top 1000 for both genders.

 Muse frontman Matt Bellamy and Bellamy Blake from The 100 are notable male namesakes.

Bellamy

A sweet, uplifting and still fairly uncommon modern virtue name. Its single syllable makes it especially good as a middle name, but it would also make a big impact in the first spot.

Bliss

Caius is classical and serious but also has a simple, joyful quality. There was a third century pope named Caius, as well as an early Christian writer, several Shakespearean characters, and a Twilight vampire. We would pronounce the name to rhyme with eye-us though at Cambridge University in England, where it's the name of a college, it's pronounced keys. 
 Nickname Cai is a definite asset.

Caius

Calla is a lily name that is much more distinctive and delicate than Lily. Rarely heard today, it did appear in the popularity lists in the last decades of the nineteenth century.
 Calla is the eponymous heroine of the Rebecca Wells novel The Crowning Glory of Calla Lily Ponder, and there's an English rock band called Her Name is Calla.
 Actress Mare Winningham named her daughter Calla way back in 1987.
Sound-alike Cala is an Arabic name meaning fortress.

Calla

Stronger and more contemporary twist on Carla or Carly, Carlin was used just about equally for girls and boys in the US last year.

Carlin

Common Asian surname also works as a first, as with the singer Chan Marshall, also known as Cat Power (and born Charlyn). 

Chan

This Irish surname-name certainly feels brighter and fresher than the English equivalent, Clark.

Cleary

Best-selling Prep author Curtis Sittenfeld made this one of the many <a href="https://nameberry.com/list/79/boy-names-for-girls">boy names for girls"</a> gaining in popularity and acceptability.

Curtis

Singular and serene noun name that's been used by a couple of celebs. 

Dream

A word that's been used, very infrequently, as a name for hundreds of years. Interesting sound and meaning. 

Early

Ellis is a former Old Man Name turned gender-neutral choice for the 21st century. It's one of the less used names in the currently popular El-family. 
 
 A popular Welsh name in its own right, sometimes spelled Elis, Ellis is also an English surname derived from Elijah, by way of the Greek Elias.
 Ellis Bell was the male pseudonym of Emily Bronte when she wrote Wuthering Heights. Ellis Marsalis is the paterfamilias of the noted jazz family, father of Wynton, Branford and others, and some might associate the name with Ellis Island, through which millions of immigrants entered the United States.
 There have been a number of Ellises on the big and small screen -- in The Wire, Grey's Anatomy and No Country for Old Men, among others. As a surname, it's associated with designer Perry, writer Bret Easton and psychologist Havelock.
 At one point all-male, Ellis is now a popular name for both boys and girls. Currently there are two baby boys named Ellis for every girl.

Ellis

The lyrical and melodious Elodie, a Nameberry favorite, is starting to rise through the US popularity charts for the first time since the 1880s. It's a uncommon member of the trending El- family of names, which includes Ella, Eloise, and Eleanor. 
 
Elodie derives from Elodia, the Spanish variation of Alodia, a gothic German name associated with Saint Alodia. Saint Alodia was a child martyr in 9th century Spain, along with her sister Nunilo. In France, Elodie is spelled Élodie, with an accent over the E.
 
Élodie is a mono-named Italian singer and model as well as a major character in the Emile Zola novel The Earth. Princess Elodie is the protagonist of the video game Long Live The Queen and there was a character on The Hills named Elodie.
 Popular in the UK and French-speaking countries, Elodie could make an original honor name for Aunt Melody.

Elodie

The superpopularity of Emily and Emma has recently boosted the unisex Emery, especially since it became a celebrity baby name when it was chosen by Angie Harmon and Jason Sehorn. 

Emery now ranks among the girls' Top 100 names in the US, though Emma, Emily, and even Emilia are more popular. Emerson and Emmeline are two other popular girl names in the same vein.

Nickname Emmy or Emmie makes it cute and girlish but even more popular given the legion of little Emmys.

Emery

Evian might sound elegant, if you could forget the water. But no one will. 

Evian

Faron, a soft and gentle name, has a diverse group of references. There was the medieval Saint Faron, Bishop of Meaux (who has given his name to a cheese); Faron Young, a colorful midcentury country singer known as The Hillbilly Heartthrob, and a character from The Legend of Zelda: Twilight Princess.
 Could make a more unusual alternative to the Irish surname Farrell.

Faron

One of the classic hippie word names. In the 1970s, actors Barbara Hershey and David Carradine gave this name to their son...who later changed it to Tom. 

Free

Greene

The girls have Violet and Scarlet and Ruby and Rose, but for the boys there's a much more limited palette of color names. Grey/Gray is one exception, which could make for a soft and evocative—if slightly somber—choice, especially in the middle. Kaitlin Olson and Rob McElhenney named their son Leo Grey. 
 A common surname, Grey/Gray is still an unusual first name choice (it entered the Top 1000 for the first time in 2013), while longer forms Grayson and Greyson are climbing rapidly. Grey is a color associated with the sign of Virgo, so Grey, Gray, and Grayson are perfect <a href="https://nameberry.com/blog/zodiac-baby-names-ideas-for-your-virgo-babe">names for Virgo babies</a>.
 The best known bearer of the name, former Governor Gray Davis of California, was born Joseph Graham Davis, Jr, and others with Grey/Gray names include Graydon Carter, editor of Vanity Fair, and Grayer, the child in The Nanny Diaries.
 It's worth noting the connection to Christian Grey, of E. L. James's Fifty Shades of Grey. Do with that what you will.

Grey

Kier

Mirren is a lively and attractive Scottish name, popular in its native country but best known outside Scotland as the surname of the English actor Dame Helen Mirren. It is thought to be a Scottish derivative of the name Marion, from Mary. Another possible origin for Mirren is as a modern spelling of a mysterious group of names that all seem to derive from the sixth century Irish saint Mirin who emigrated to Scotland and now is the patron saint of both the Glasgow suburb of Paisley and the game of football. The Cornish Merryn, best known as the name of the seacoast town St. Merryn, is also related.

Mirren

Neo, indeed--though it was a male character in "The Matrix."

 In the Southern African language of Tswana, it is a unisex name meaning "gift".

A very popular girls' name in Japan whose sound is consistent with its meaning.  Another possibility is Ren.

Roux, a color name meaning russet or reddish brown, is a possible middle name for your little auburn-haired babe, though a post-Hunger Games child would more likely be called Rue. Roux is also a culinary term for a mixture of fat and flour used in French cooking to make sauces.

Roux

Shiny cousin of Samara with an intriguing meaning. Increasingly associated with the charming Samira Wiley, a perennial scene-stealer on "Orange is the New Black" and "The Handmaid's Tale."

Samira

Sariah is the perfect compromise name for when you say Sarah, and your spouse says Mariah. Spelled Saria, it's a character in the video game The Legend of Zelda: Ocarina of Time.

Sariah

This number name first came to public attention when Erykah Badu and Andre 3000 chose if for their son, Seven Sirius Benjamin, born in 1997. Over a decade later, David and Victoria Beckham used it as their daughter's middle name, and now in these days of unisex word names, it's rising for both sexes. It's certainly one of the most name-like numbers: after all, it's only a letter away from Steven.

Seven

This Latin word used for evening spiritual services was introduced to baby namers by the Eva Greene character Vesper Lynd in the modern James Bond film Casino Royale in 2006, based on the Ian Fleming novel, and is just now beginning to provoke interest among namers, with its spiritual reference and soft, whispery sound.
 On a more earthly note, the 'Vesper Martini' is the famous drink ordered by James Bond in both the book and the movie Casino Royale.
 A name likely to enter the Top 1000.

Vesper

With the rise of both Russian names and those that start with the letter V, this sharp Eastern European choice may become more familiar in the English-speaking world.

Viera

kaitymae's list "low fantasy/AU names" of 38 great name ideas: Abra - Viera!