there's some amazing french music from the past century, if you're into oldies. Stuff like Edith Piaf, Michel Fugain and Jacques Bruel.
if you're a metal guy you could try Deathspell Omega but it's kinda hard to understand what they're saying. I sometimes can't tell the difference when they sing french or english.
there's also the 70's french progrock band Ange. Oh and maybe you'd like the french bands Amesoeurs and Alcest, which are both post rock projects led by the same dude. amesoeurs
edit: and I almost forgot my all time favourite, Harmonium from Quebec. vert