Greek names:
Corinna (my favourite), Alexis, Agatha, Alexandra, Andromeda, Phyllis haha, Helen, Delia, Melissa, Pandora, Eirene(Irene), Hestia, Helena, Eugenia, Doris, Chloe, Phoebe, Sappho, Thais, Xenia, Moira, Maia, Hippolyta, Glauce
Nicholas, Leo, Philip, Alexis, Alexander, Jason, Homer, Myron, Lysander, Linus, Cyrus, Hilarion, Draco, Cosmas, Philo
If you want to get all late antiquity about it, try things like Ambrosius and Anastasia.
I think some of the names here are just way over the top, and you have to watch some of the mythical or historical associations: I certainly wouldn't use Hera, Medea, Phaedra, Antigone, Andromache or Eris
.