tuxgeo
Adventurer
I'm gonna go in another direction for a minute. The Madonna song "Die Another Day" sounds like a cacophonic mess - until you watch the opening credits to the movie Die Another Day, which goes with the song. Then, and only then, will its seemingly random starts and stops make sense.
Referring back to the title of this thread -- I think the above quote indicates that Madonna's song could be viewed as being somewhat "senseless" without the context of the movie.
So there's (finally!) one example for that category of song in this thread.