One of my favorite musicians/songwriters/singers is Emily Loizeau. Her music is perfectly melodic and delightfully odd. I actually haven't listened to her newest album yet but her first album, L'Autre Bout de Monde, is one my most-listened-to albums in my music collection. For you Andrew Bird fans, she does a charming duet with him on the album.
Her website is quite entertaining on its own too.
Here are two of her music videos, Je Suis Jalouse is clever and quirky and L'autre Bout de Monde is so pretty and dreamy.