Lilting and lovely. Entered the US Top 1000 for the first time in 2016.

Ailani

One of those names you may not even be aware of if you haven't been paying attention to recent naming trends, Alani was given to more than 700 baby girls in the US in one recent year, to be the second most popular feminization of Alan after Alana. It's certainly the most modern-sounding female version of Alan.

Alani

Amari is a name that's rising in popularity in the US for both boys and girls. Last year, about 1000 baby girls and 2000 baby boys were named Amari in the US, making it one of the Top 20 gender neutral names.

Amari has a number of possible cultural origins and positive meanings. Amara is another possibility for girls.

Amari

Anaeli

The name of a Guaraní princess killed by Spanish conquistadors in Tupi-Guarani legend. A Ceibo tree – the national flower of Argentina – is said to have bloomed in the spot where she died.

 The meaning of the name is uncertain. It may be related to the Tupi word for "maize", or it may be related to Anahita or Anaïs, meaning "immaculate". Mononymous Mexican singer and actress Anahí is a famous bearer.

 Anahí is also a gemstone name: a variety of quartz with distinctive purple and orange sections, found in the Anahi mine in Bolivia. The mine is said to have been named after an Aroyeo princess who married a Spanish conquistador and was accidentally killed trying to save him from assassination. She is said to have presented him with one of the gemstones as she lay dying – the differently colored halves of the stone representing her heart torn between her love for her husband and her love for her people.

Anahi

Angeli

An unusual Hawaiian nature name with an appealing vowel-rich sound.

Aolani

Authentic African name that blipped in popularity a few years ago when hip-hop singer Ashanti first arrived on the scene. 

Ashanti

Anaili

Estefani

Elienai

Heidi became known—and popular—via the 1880 eponymous children's classic by Swiss writer Johanna Spyri and, despite decades of American Heidis of all sizes, shapes, and personalities, the name seems permanently tethered to that spunky little girl on the Alpine mountaintop in the book and Shirley Temple movie. 
 The movie was released in 1937, and two years later the name popped onto the charts, and would, a few decades later, be a Top 100 name for close to twenty years. The prominence of Heidi Klum on Project Runway has given it a new recent bump.

Heidi

Jehieli

This name's similarity to Kalani and pretty Hawaiian origin helped catapult it into the Top 1000 for the first time in 2013.
 Kailani Craine is an Australian figure skater.

Kailani

Kairi is the name of the main female character in the popular role-playing video game series, Kingdom Hearts. Voiced by Hayden Panettiere in the main series, Kairi is one of the seven Princesses of the Heart. Kairi entered the US Top 1000 in 2010 and was given to over 400 baby girls in one recent year.

Kairi

This name first entered the US Top 1000 in 2016, probably because of R&B singer Kehlani, whose full name is Kehlani Ashley Parrish. It was the fastest-rising girls' name of the year. Kehlani may be a variation of Kalani. Hawaiian or Hawaiian like names are particularly popular for girls, with the lani suffix appending to a range of prefixes.

Kehlani

Khaleesi is an invented name introduced to the world by inventive and prolific author George R. R. Martin for his wildly popular Game of Thrones series—it's Dothraki for "queen" and is one of the titles of the character Daenerys. It entered the US Top 1000 in 2014.
 Martin's series is having a powerful influence on the baby name culture, with sister name Arya the fastest rising <a href="https://nameberry.com/girls-names">girls’ name</a> in the US in 2012.
 We can't help feel, however, that this name is going to date about as fast as a pointy-toed boots or feathered hair. Advice: look for another name.

Khaleesi

Lyrical, lively and bold, Leilani is a name that feels fresh, floral, and summery. Sharing sounds with the popular Lillian, Layla and Luna, Leilani is a fairly recent addition to the US Top 100. 
Derived from the Hawaiian elements of lei, meaning “flowers”, and lani, meaning “heavenly”, Leilani can literally be translated as “heavenly flower.” 
Alternatively, it might be interpreted as “royal child” because flower garlands worn round the neck are associated with children in Hawaii, and because lani is linked to majesty, and therefore high-birth and royalty. 
Leilani has been in and out of US Top 1000 since the 1930’s, with Bing Crosby’s song “Sweet Leilani” likely introducing it to many parents and inspiring their choices. 
While it did remain in use across the 20th century, it wasn’t until the mid-90’s that Leilani really began to make a steady but serious rise up the charts. Influenced perhaps by the glamor of American model Leilani Bishop, by Miss Great Britain Leilani Dowding, or by the Basic Instinct actress Leilani Sarelle, the name was in the Top 500 by 2001, and the Top 100 by 2020. 
Particularly popular in Hawaii, New Mexico, and South Carolina, Leilani is given to nearly 4000 babies in the US every year. Across the pond in the UK, it has seen sporadic usage, but recently rose to be within the Top 700. 
Connected to nature and to a place in Hawaii; familiar and well-rooted but with plenty of flair and freshness; musical and princessy with solid sounds and spark, Leilani ticks lots of boxes. With its nickname potential and popular L initial, it may well continue to climb the charts. 
Loving Leilani and want to learn more about Hawaiian names? This <a href=”https://nameberry.com/list/579/hawaiian-baby-names”> wonderful list</a> is a great place to get started, with some highlights including Iolani, Kakalina, Lillinoe and Luana.

Leilani

Leamsi

Mari enjoyed some mid-century popularity as a nicknameish version of Mary, but now deserves a second look as a multicultural classic. Mari is the name of the Basque goddess of fertility and weather and is also, for unrelated reasons, popular in Norway. The biggest problem with the potentially-lovely Mari will be getting people to say it the way you want. While some Europeans pronounce it as Marie, that will only confuse things more. Better to make it its own individual name by pronouncing it MAH-ree. As one commenter pointed out, in Estonian the name is not a Mary variation but means "berry" – all the more reason for us to like it!

 The meaning of Mary is uncertain, but theories include "drop of the sea" (from Hebrew roots mar "drop" and yam "sea"); "bitter" (from Hebrew marah "bitterness"); and "beloved" (from the Egyptian root mr).

Mari

Lobbing off the final E makes Melanie more modern.

Melani

Marangeli

Mariangeli

Mayerli

While many are familiar with the Hebrew name Naomi through the Biblical character, the name also has separate roots as a unisex Japanese name meaning "straight and beautiful." Variation Nahomi is rising in use for girls, potentially due to Japanese footballer Nahomi Kawasumi who plays for the American soccer team NJ/NY Gotham FC.

Nahomi

Naiomi

Kenya is fairly commonly heard as a girl's name, but its capital city makes a much more exceptional choice. 

Nairobi

Naomi was once a primarily Jewish name from the Old Testament that referenced the mother-in-law of Ruth. Because of this, it is a symbolic name given to girls on Shavuot when the story of Ruth is read in the synagogue. 
The French version is Noemie, in Italian Noemi. Naomi also has separate Japanese origins as a unisex name meaning "straight and beautiful."
 
This long-quiet Old Testament name seems to finally be finding favor with parents seeking a biblical name with a soft, melodic sound and a positive meaning, suddenly sounding fresher than the widely used Sarah, Rachel, and Rebecca. It's now more popular than ever after breaking the Top 100 for the first time in 2010. 
 
Beautiful black model Naomi Campbell and blond actress Naomi Watts have helped the modernization. Other namesakes are singer Naomi Judd and feminist writer Naomi Wolf.

Naomi

Natali

A name rarely heard outside the Latino community, but it was popular enough in the early 2000s to crack the Top 200. Since then, it's lost ground.

Nayeli

Nayelli

Nayomi

Noemi is a charming Latin spin on Naomi, with the accent on the last syllable; another twist is Neomi.

Noemi

Nachali

Nashali

The Spanish form of popular Ruby is another addition to the list of attractive gem names for girls.

Rubi

A name with visible links to Sarah and Sarai, Sarahi is a rare and unusual name in the US. Nonetheless, it has made several appearances in the Top 1000 every year since it debuted in 1996. It also has a similar appearance to Sahara. Pronunciation could present some challenges.

Sarahi

In the Old Testament, God changed Sarai's name to Sara, so this would make a clever and legitimate honor name for an ancestral Sarah. Sarahi is another pretty variation to make the connection even more clear.

Sarai

Shaddai

Tanairi

Wilmari

Yaindhi

Yuleisi

Yumalai

Zulmari

Zurisadai

jevohh's list "Puerto Rican Girl names ending in -i" of 46 great name ideas: Ailani - Zurisadai!