I listed some 40s songs for weddings. These songs would be great to play at your wedding. They are all on my must hear 40s songs list.
Don't Sit Under the Apple Tree (With Anyone Else but Me) - by The Andrews Sisters
I'll Get By (As Long as I Have You) - by Harry James Orchestra
It's Love-Love-Love - by Guy Lombardo
You Are My Sunshine - by Jimmy Davis