If you play the guitar music to Stairway to Heaven, but sing the lyrics to Gilligan's Island, it works perfectly. I stole the idea from a group called "Little Roger and the Goosebumps" who first performed "Stairway to Gilligan's Island" many years ago.
That's pretty common given a common meter between the songs. You can also sing "Amazing Grace" to the tune of "Gilligan's Island" or vice-versa. Or substitute "America, the Beautiful", "Yesterday", etc.