I've been on the search for the same thing a year ago. Depending how hard you looked, I may not be of much help.
Of course, there's always Adeste Fideles. Even though I'm nonreligious, I don't find it too bad to listen to.
Here is a fandub of a Disney song http://www.youtube.com/watch?v=8Wbv6ly9kXM
Wish more of stuff like that is made. Those Disney songs were fun.
Someone made a set of lyrics to sing along with the Superman theme. Easy enough to Google it.
Ode to Joy has a set of Latin lyrics, but I've never been impressed with it; and the meaning is completely different from the original German.
There's a PS2 game called Ace Combat 5: The Unsung War. One of the main songs, "Unsung War" is in Latin, but it's in that church Latin choirs with repeating lyrics that you can hardly hear.