I went through a phase recently that was similar, but leaning slightly more electronic. These maybe don't have the bar-room smokiness, but they're hot anyway:
(Yes she sounds like Bjork. She's not Icelandic, she's from Peru. She's the Peruvian Bjork.)
(The video is montaged from the film
Garden State, which used the song.)
(This song is one of the few that can bring me to tears if I really listen to it.)
EDIT: Here's one more: