I used to be very into the French dance house thing (neu disco scene in Athens was huuuuge during the late 90s early 00s), Roger Sanchez, Air, Bob Sinclair, Daft Punk, Galleon, St Germain etc. I'm still liking Air, the rest I don't listen anymore because I don't go out dancing as much. I think this scene has been replaced with hip hop now in clubs.
Nice to see this thread is still alive... I saw some people name artists that aren't actually from France but do sing in French, and in that list Jacques Brel is super important. In my book, he had one of the greatest voices in history, and a great ability to write brilliant music.
I also like Anaïs, she's quirky and her songs cheer me up.
Serge Reggiani is of course not as recent as Anaïs, but he's great too.
Colonel Reyel (Toutes le nuit)
Vanessa Paradis (Il y a or Joe le Taxi)
Corneille (acoustic version of Parce qu'on viens de loins)
Magic System (Ambiance a la Africaine)
Sexion D'Asssault (desole)
Singuila (c'est trop)