If I'm not wrong, they used "Kimi ga Iru Kara" instead of "My Hands":
And in the part with Serah and Snow (and the fireworks), they didn't use "Serah's Theme" but another song whose name I don't have yet. Also, there are changes to the lyrics of some songs.
I wish we got this version in the beggining. I still don't know what were Square Enix thinking when they decided to licence a non-FF song for the game.
EDIT: For better comparison, look at this.
EDIT 2: My God. Even Vanille feels like a more enjoyable character with Japanese voice acting. Please, let Final Fantasy XV come with Japanese voice options! >_<