Welcome to my French pop and rock section... Here are a few recommendations to albums I've enjoyed that I think you might like as well, ranging from 1960s ye-ye to a few more contemporary albums from France's blossoming indie and electronica scenes. There is also a separate section for older musical styles, such as chanson and musette, if you like the old stuff, too!
Agnes Jaoui "Canta" (Tot Ou Tard, 2006)
A devotee of Latin American music, Jaoui performs rather sparse, mainly acoustic material in a variety of styles... One highlight is a duet with Brazilian pop diva Maria Bethania, on a song called "Samba Em Preludio." Might be a bit arid for many listeners, but it's an interesting outing for a French artist...
Jocelyne "Twistin' The Rock" (Universal, 2002) \
A swell 2-CD set of girl-group rock and pop vocals from a French gal who actually had a nice bluesy twist to her voice... This spans from up-tempo teenybopper material to more swank, pop-oriented arrangements. Nice, simple retro-riffic fun... Worth tracking down, if you like to hear a little snarl in your French filles.
Joey & The Showmen/Les Golden Stars "Twistin' The Rock, v.14: Les Orchestres De Johnny Hallyday" (Universal, 2002)
Frankie Jordan "Frankie Jordan" (Universal/Decca, 2003)
French Music Index
French Chanson & Musette