I do like gender neutral names, although I don't find many names that I like for both genders.
Gender neutral names I like for a girl are
Addison,
Alexis,
Allison,
Arya,
Blair,
Bronte,
Camille,
Carey,
Carol,
Carson,
Casey,
Courtney,
Dana,
Darby,
Eden,
Egypt,
Ellery,
Emory,
Evelyn,
Florence,
Gayle,
Harley,
Harper,
Indigo,
Ivory,
Jade,
Jo,
Jules,
Kasey,
Kelsey,
Kendall,
Lacy,
Lauren,
Leigh,
Leighton,
London,
Lux,
Madison,
Maria,
Marie,
Meredith,
Morgan,
Navy,
Nika,
Noor,
Nour,
Nur,
Padma,
Quinn,
Raine,
Raven,
Reese,
Riley,
Sage,
Shannon,
Shiloh,
Sky,
Vivian.
Gender neutral names I like for a boy:
Beau,
Claude,
Cruz,
Dakota,
Dallas,
Darian,
Devon,
Ellis,
Francis,
Jaden,
Jun,
Justice,
Kai,
Laurie,
Lee,
Leith,
Logan,
Nil,
Noam,
Noel,
Omer,
Phoenix.
Gender neutral names I like for any gender:
Angel,
Arden,
Ashton,
Aubrey,
Blake,
Cameron,
Chandler,
Darcy,
Hayden,
Hollis,
Joey,
Jordan,
Kameron,
Monroe,
Parker,
River,
Robin,
Rory,
Rowan,
Taylor.
Also, the name
Beckett, which is not gender neutral but I like it for any gender.