Favorite Female vocals that give you goose bumps

Sorry, missed that Gawdbless. Tori Amos is a favorite of mine too, Mosin - there's a cut off her, "Strange Little Girls" titled, "97 Bonnie and Clyde" that's kind of hot-miked, and largely whispered...definitely goosebump rendering and really creepy...but I love it!

Jax2,
Cecilia does have a voice that would bring a tear to a glass eye.
A few less well known to the masses,

Emilie Autumn
Gitane Demone
Diamanda Gallas
Danielle Dax
Tina Root (Switchblade Symphony)
Monica Richards (Faith & the Muse)
Kim Richey
Lisa Loeb

Regarding classical performers. It seems like those recordings are not recorded the same way, with as much care, with a good mic. I don't listen to much classical for that reason.

Many of my favorites are already listed like Rickie Lee Jones and Karen Carpenter. Forgive me if I missed it, but I'm surprised Eva Cassidy wasn't mentioned yet. Another singer IMO worth checking out is Shawn Colvin. I'm not too hip to the classical female singers but out the ones I am familiar with I'd have to give Renee Fleming and Anna Netrebko a nod.

Enjoy,
Tom

Regarding classical performers. It seems like those recordings are not recorded the same way, with as much care, with a good mic. I don't listen to much classical for that reason.

You need to get out more :-) I'd refer you back to my earliest suggestion; check out the voice of Montserrat Figueras, on the Alia Vox recording of, El Cant de la Sibil-la. That recording (available on SACD as well) will raise the hairs on the back of your neck on a good system. In fact all of the Alia Vox recordings (I believe the company is owned by her talented husband, Jordi Savall) that I've heard are consistently excellent recordings with obvious great care taken in their production. Fortunately they are also consistently great performances as well. Also try the classical choices on the ECM label for consistent quality. Great jazz on the latter too. Alia Vox is all early music.