Joyeux Noël!  (Merry Christmas)
Joyeuses Fêtes! (Happy Holidays)
Bonne année! (Happy New Year)

Je vous souhaite un joyeux Noël et une très bonne année.
(I wish you a Merry Christmas and a Happy New Year).

Christmas vocabulary (with audio):

"Petit Papa Noël" is a famous Christmas song in France. You will find below an adult version sung by Tino Rossi and then a version for children.