Gender neutral names for a girl

[Sianela]

So in the list so far

Robyn (quite like this as derives from a family surname although keep thinking Winnie the Poo)

Danny
Frankie
Jamie
Lee
Hayden
Rowan

Misha
Sasha

If you want to go more Eastern European

Alexis

I'd tread really carefully with that these days, as it's too close to Alexa - especially if people are lazy and 'clip' the end. Alexa is a beautiful name (as is Alexis), but it's now become a living nightmare for anybody called that name now. I'd go for Alex instead, with the emphasis on a different syllable.