A lot of parents claim to want a name that's different, but if you really do, Aquilina, modern-feeling but based on an ancient favorite, would be one good choice.

Aquilina

Ahaphia

Artim

Basilius

Demjan

Domicella

This international variation was publicized by Olympic skater Ekaterina Gordeeva.

Ekaterina

Elik

Eudokia

Eufrosia

Fedor

Graphira

Hafia

Hricz

Ilonna

Imrich

Istvany

Izidor

Kundrat

Lajos

Metro

Milka

Macrina

Marcula

Matrona

Mihaly

Mitro 

Nikolaj

This chic Ukrainian form of Helen is relatively unknown outside of its native country, but it definitely has international appeal. Olia or Olenka are the usual Ukrainian diminutives, but tomboyish Oli or Leni could work too.

Olena

This Slavic form of the Norse name Helga is a classic in many Slavic countries, including Russia and Poland, where it currently ranks within the Top 100 girl names. It has historically ranked among the most popular names in countries including Ukraine, Latvia, Spain, France, Serbia, Greece, the US, and many more. Olga is a common name even in Scandinavian countries, such as Sweden and Norway, despite Helga being a more traditional choice. Olha is the uniquely Ukrainian variation.
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Olga was one of Chekhov's Three Sisters, as well as the name of the saint who was instrumental in spreading Christianity in Kyivan Rus', an historic state encompassing modern-day Belarus, Ukraine and parts of Russia.

Olga

Oryna

Paraskeva

Petronella, and its shorter sister Petra, are both feminizations of Peter. While Petronella is a name with deep history, it's extremely rare. It was given to no baby girls on record in the US last year.

Petronella

Pajza

Pantalemon

Parascevia

Paraska

Photinia

Tekla

Thecla

Basil and all his brothers and sisters have a meaning related to royalty, sometimes cited as king, queen, royal, regal.

Vasil

Vasko

Wasil

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."

Xenia

Remember Zuzu, the adorable little girl you watch every Christmas in "It's a Wonderful Life"?  Here's a direct path to that nickname, a lot more zesty than the more familiar Susannah.

Zuzanna

maybe_someday_baby's list "Ruthenian (Rusyn) Names" of 46 great name ideas: Aquilina - Zuzanna!

Ruthenian (Rusyn) Names

Ruthenians are an ethnic group originating in eastern Slovak. While many Ruthenians have Slovakian names, there are some names that are unique to Ruthenians.