If you would like to expose yourself to the French language a little more, I highly recommend you listen to French music. I suggest you listen to different types of music so that you can find something that you enjoy. You can sample a lot of French music without having to purchase it, that way you can be sure that you like the artist.
Here is a list of artists that you can begin with. Once you find some artists you like, it will be easier to find similar Francophone artists.
Amadou et Mariam (traditional, world - Mali)
BB Brunes (rock, pop)
Carla Bruni (pop, folk)
Céline Dion (pop, contemporary- Québec)
Charlotte Gainsbourg (pop)
Cheb Khaled (traditional, world - Algeria)
Cheb Mami (traditional, world - Algeria)
Cœur de pirate (indie pop- Québec)
Coralie Clément (pop)
Corneille (pop rock - France)
David Lafore (pop - France)
Diams (hip hop, rap)
Edith Piaf (classic- France)
Granville (modern, indie - France)
Indochine (rock, pop - France)
Jacques Dutronc (rock pop - France)
Kamini (rap)
Keren Ann (pop)
Kyo (rock pop)
L'Skadrille (rap - France)
- M -(rock, pop - France)
Maître Gims (hip hop, rap)
Manau (rap)
Mathieu Boogaerts (modern)
Maurice Chavalier (classic)
MC Solaar (rap)
Paris Combo (pop, world)
Pink Martini (pop, world)
Prince Diabaté (traditional, world - Guinea)
Renan Luce (pop)
Rose (modern, pop, folk - France)
Serge Gainsbourg (70s pop - France)
Sniper (rap - France)
Stromae (electronic, rap - Belgium)
TAL (pop, dance)
Téléphone (80s rock - France)
Yann Thiersen (classic, instrumental)
Yelle (dance)
Some Francophone artists who are well-known in the United States:
Arcade Fire (rock pop)
Céline Dion (pop)
Daft Punk (electronic)
David Guetta (electronic)
Justice (electronic)
M83 (pop, electronic)
Phoenix (rock pop)