Not gender neutral... Yet

While any name could be gender neutral in theory, here are some I think can be gender neutralised now. I will be focusing on names from the "girls" section which aren't yet used by boys and men but easily COULD BE.
  1. AbiellHeart
    • AbrielHeart
      • AddieHeart
        • Origin:

          Diminutive of Adelaide or Adeline
        • Description:

          Old-fashioned nickname with sweet turn-of-the-last-century charm that's become a favorite among the popular girl names starting with A of today. In fact, with all spellings of Adeline/Adalynn taken together firmly in the Top 10, and Adelaide and Addison also high in the charts, Addie is one of the most frequently-heard short forms around. But no matter how popular (or pandemic) it gets, Addie is undeniably one of the cutest names for baby girls. Little girls might like the fact that it's the name, though spelled Addy, of an American Girl series doll.
      • AdelinHeart
        • AdelisHeart
          • AjayHeart
            • Origin:

              Sanskrit
            • Meaning:

              "unconquered"
            • Description:

              A very common boys' name in South Asia, with a strong meaning. Some are bound to pronounce it AJ, as in Soprano.
          • AkseliHeart
            • Origin:

              Finnish variation of Axel, Scandinavian
            • Meaning:

              "father of peace"
            • Description:

              A popular choice in Finland, where it ranks among the Top 50 boy names.
          • AlbieHeart
            • Origin:

              Diminutive of Albert, Alban or Albus
            • Description:

              This cute masculine nickname -- with connections to princes, Hogwarts headmasters and the Manzo family of "Real Housewives of New Jersey" -- almost has enough heft to stand on its own. But all of its precursor names have merit.
          • AlphaHeart
            • Origin:

              Greek, first letter of the alphabet
            • Description:

              The first letter of the Greek alphabet ande the brightest star in every constellation, this would make an interesting choice for a first daughter, though it does give off some spectral sci-fi reverberations--and references to the term "alpha male.".
          • AltaHeart
            • Origin:

              Latin
            • Meaning:

              "elevated"
            • Description:

              Alta, one of the newer names bookended by the letter A, has a meaning that might raise a child's self-esteem. It was the middle name of First Lady Lady Bird Johnson.
          • AmberHeart
            • Origin:

              Word name, English
            • Description:

              Though perhaps not as currently stylish as Ruby, Jade, or Pearl, Amber has a colorful history (remember the notorious Forever Amber heroine?). Unfortunately, it does come with the "Amber Alert" connotation for modern parents (and their children).
          • AmbroseHeart
            • Origin:

              Latin
            • Meaning:

              "immortal"
            • Description:

              A favorite of British novelists including Evelyn Waugh and P. G. Wodehouse, Ambrose has an air of blooming well-being and upper-class erudition. It comes from the same Greek root as 'ambrosia', the food of the gods, said to confer immortality.
          • AmioHeart
            • AmmielHeart
              • Origin:

                Hebrew
              • Meaning:

                "people of God"
              • Description:

                There are four figures named Ammiel in the Bible. The most notable was the father of Bathsheba.
            • AmorisHeart
              • Origin:

                Latin
              • Meaning:

                "love"
              • Description:

                This Latin word for love is not traditionally used as a name, but why not? It's got a pretty sound and some distinctive flair. Variants Amori or Amorie can also be thought of as different spellings of Amory, which has a very different meaning and roots. Only downside: Sounds almost exactly like "amorous," meaning in the mood for love, which could provoke some adolescent teasing.
            • AndelisHeart
              • AndrellHeart
                • AngelesHeart
                  • Origin:

                    Spanish
                  • Meaning:

                    "angels"
                  • Description:

                    A spiritually significant name used in honor of the Virgin Mary. In Spanish, her title is Nuestra Señora la Reina de los Ángeles, meaning "Our Lady the Queen of the Angels."
                • AngeliHeart
                  • AngelouHeart
                    • Origin:

                      Literary name
                    • Description:

                      If you want to move beyond Maya.