Angie Hart with Frente - "Open Up Your Heart And Let The Sun Shine In".
That chick from Abba - "The Winner Takes it All"
Billie Holiday in her prime. Ella Fitzgerald too.
Many cuts sung by Cosette' in "Les Miserable".
Yoko Ono's screeching usually gives me hives more so than goosebumps, but I like her stuff on "Double Fantasy"...no goosebumps though.
Also Leigh Nash (the chick from Sixpence None the Richer).
I'll even admit to the fact that Katheryn McPhee did it for me on several occasions during her stint on American Idol.
Annie Haslam of Renaissance fame used to do it for me though I've cooled to her somewhat in recent years.
