Antony for sure: Gorgeous voice. In the biological sense, isn't Antony Hegarty still a man? His/her voice is certainly that of a woman. I think Antony is channeling Nina Simone! Great call, regardless. Definitely gives me goosebumps. I'm particularly fond of the EP, The Lake. That first title cut, putting an Edgar Allan Poe verse to music, gives me the chills every time.
I find it interesting how diverse the responses are here - to me it reads more like a thread responding to "who are your favorite female vocalists". There are so many here that I too enjoy, but that I'd never say gave me goosebumps. I wonder what quality it is that does this for others. I don't know that I could put it into words. Something like silky smooth, organic, sensual...I don't know, but many of the choices people are mentioning, though I very much like them, don't fit my own criteria.