I know that:

* The moon stood still on Blueberry Hill
* They have Moonlight in Vermont
* and Oh Moon of Alabama, we now must say 'Goodbye'
* There's a Moon over Bourbon street
* Allagenne Moon, you silver light etc.
* I'm being Followed by a Moon Shadow

And this moon medley could be way longer, but there is only one song in which the sun and dee daymoon get together and that is a French song:
"Le Soleil a rendez-vous avec la Lune"