Ok, I'm cheating slightly with this one because with Cindy Lee it's not necessarily about an unusual voice so much as unusual vocals/effects.
Act of Tenderness as an album has not had the recognition it deserves, in my opinion. It sets its own standards and is truly like nothing I've ever heard before. And it's sad (well obviously, why would I love it so much if it wasn't?)
Anyway... I want to hear more from Cindy Lee.