I like girIs' names that are not derived from a boys' name - for example: Anne/Anna, Astrid, Bonnie, Eilidh, Eleanor/Elinor, Elizabeth, Genevieve, Ginevra, Grace, Grainne, Imogen, Ingrid, Isabella, Lily, Margaret, Mary, Penelope, Rachel, Rebecca/Rebekah, Rose, Sarah, Sigrid, Sophie, Susannah, Veronica, Virginia, Winifred, Zoe.
Some others that can work easily for a boy or a girl:
Ash
Aspen
Blair
Blake
Blyth(e)
Frances/Francis > and nicknames like Frankie
Greer
Hilary
Kit (short for any Cat-/Kat- name, or Christopher/Christian)
Lee/Leigh
Lesley/Leslie
Linden
Lindsay
Morgan
Nico/Nicky (short for Nicole, Nicola, Nicholas)
Rowan
Sage
Sasha
Teagan
[I]n the UK we are more “conventional” with names. Depends what you mean by conventional. Last year in Scotland, the name Evie was more popular than Eva, Eve, and Evelyn combined. Who on earth gives their child the legal name "Evie"? Or Rosie, Annie, Alfie, Archie, etc.? British people, not (primarily) Americans.