You will have to steer clear of
Juliet.
Julianne,
Julianna,
Julia,
Julienne... but not
Juliet. It is just SO connected with the Shakespearian drama. It is a lovely name, but there's no way you won't get the "and
Romeo" aspect of it.
You could always try
Julitta or
Julita, an obscure saint, so you get a simailr sounding but Shakespeare-free
Jules name.
I also think if you like
Julian the most, you should hold out for a boy because you NEVER KNOW! :)