Zara, Avis, India, Willa, Bronte, Vita, Edie, Lola, Thea, Scout, Libby.
I'm open to being told I'm very non-funky.
I have to admit a secret soft spot for names which aren't really names at all - I use a large US forum and have seen the following names for girls which I think are incredibly arty and funky (if maybe a bit impractical and contrived): Journey, Harbour, Echo, Lark, Lyric, Cedar, Henna, Aster, Veda, Aspen, Sailor.