Nicole Atkins, in whose voice you can hear traces of Edith Piaf, Mama Cass Elliot, and Roy Orbison. Needless to say, those first two belong in this discussion, also.
And don't overlook Marlene Dietrich, whose "Lili Marlene" is outstanding in English, even better in German.
And don't overlook Marlene Dietrich, whose "Lili Marlene" is outstanding in English, even better in German.