Wow, I don't know, there are so many girl's names I love. I don't think all the ones I love could be termed 'cool' though. Hmmm, 'cool' names:
'classy faux original middle class cool':
Astrid, Arwen, Arya, Bronte, Camilla, Dora, Etta, Giselle, Hebe, Iris, Ingrid, Inga, Juliette, Jessamy, Jerica, Lyra, Livia, Mila, Nia, Nyah, Octavia, Rivkah, Saskia, Sadie, Vashti, Verity, Xanthe.
'modern, American style cool':
Avery, Addison, Aubrey, Amberley, Brynn, Briley, Casey, Cassidy, Camryn, Dakota, Emery, Eden, Fallon, Genesis, Harper, Hadley, Kennedy, Madison, Mackenzie, McKinley, Piper, Sutton, Tarryn, Zillah
'alternative cool':
Cherry, Enya, Elfie, Gypsy, Jupiter, Kiki, Keltie, Misty, Mika, Ocean, Phoenix, Raine, Romy, Storm, Star, Zia
'other culture cool'
Alejandra, Celyn, Caoimhe, Efa, Fernanda, Giovanna, Lana, Nesta, Petrova, Rhiannyd, Sorcha, Zuzanna.