Indila.

I lack words to describe how sad it is for French music to be represented by people like her. (i don't blame you, as you said you don't know the language)
Just check some of those (diverse themes and times) to get just a hint of what good French variety is :
Renaud. Georges Brassens. Jean-Jacques Goldman. Michel Fugain. Michel Delpech. Oldelaf. Lucienne Deyle.
Matmatah.
If you want some other recommendations in French music just ask me, i can give names for specific musical genras too
(rock, rap, metal, you name it) and i'll do my best to give you only good names (of course it's your right to like other artists, i just want to show the best of what we have, but mostly had, in our musical panorama).
Never overestimate mankind.