A lot of songs have been either translated or adapted to English, and a number even were hits--depends on what you have on your list--

Que-Reste-Til was re-written in English as "I Wish You Love"--Judy Garland did especially well with it, but it was't the same song--Milord was an American hit for Piaf, and there were several english language covers of it, but it has been so long since I've heard them that I can't tell you if they were translated or "adapted"--

Then there is "Piaf", in which Elaine Paige did both English and French versions--but perhaps this is your inspiration, no?