This is a really cool idea, thanks requester! There were tons of names, so this is just greek mythology names.
Aphrodite
Achilles
Aegle
Aoide
Aeson
Aiolos
Apollo
Adonis
Althea
Andromeda
Arachne
Artemis
Athena
Alexander
Ajax
Atlas
Brontus
Castor
Calypso
Cassandra
Circe
Cronus
Damocles
Dardanos
Demeter
Dione
Kreios
Eros
Erato
Elphis
Electra
Gaia
Hades
Hector
Helios
Hera
Hermione
Irene
Ismene
Iris
Linus
Leander
Lycus
Midas
Metis
Maia
Medusa
Minos
Nike
Nereus
Nephele
Orion
Paris
Perseus
Pandora
Persephone
Phoebe
Phrixus
Sylene
Tychon
Themis
Tyche
Pluto
Poseidon
Zeus
Some non-greek names because I'm a sleepy idiot
Hapi (this one is often depicted as intersex!!)
Iphis (is actually FtM!!)
Itzamna (both male and female)
Loki
Nikephoros
Nun
Amor
Aphroditus (both male and female somewhat)
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Non-Binary Names
RandomHello! Welcome to Non-Binary Names. I hope you enjoy yourself and that you find a name you like <3 You can: request chapters, read older ones, give name ideas, and more