I definately recommend Nolwen Leroy. She won the second series of the French version of Fame Academy. I haven't heard the first album she released after the show, but her second Histoires Naturelles is excellent!
Videos:
Nolwenn Ohwo!
Histoire Naturelle
Music:
Running Up That Hill (cover)
How's Olivia Ruiz then? Am thinking of picking up one of her albums when I'm in Paris.
mi|kshake~