As I recall, that one said (or maybe this was an alternative version):

If I die in the old drop zone, Box me up and send me home. Pin my wings upon my breast and bury me in the leaning rest.

Another one that I remember went as follows, and refered to those people popularly known as REMFs:

I want to be an Airborne Ranger...FINANCE! I want to live a life of danger...FINANCE! I want to play with the Army's money...FINANCE! I want to be a rich lieutenant...FINANCE!

This was also a running call, and the call leader "sang" the verse and the rest of the unit shouted the chorus.