The film is a compilation of classical music from French composers. I believe the opening number is Aquarium, from The Carnival of the Animals by Camille Saint-Saens. A variation of which is used at the start of Beauty and the Beast.
Update: Looks like that piece is later in film than I remembered. Here's the list in order: Link
Update to the update: That list is not "in order of appearance", is alphabetical by composer.
One that is missing from the list is the final piece (when they show the Eiffel Tower); that's the last movement of Saint Saens Symphony #3 (Organ Symphony).