Guess it's time to spill the beans.
The 1934 movie "Here Comes the Navy," starring the 34-year-old James Cagney, was nominated for the Best Picture Oscar, but apparently faded from most movie enthusiasts' memories pretty quickly. It doesn't even get listed in most "TV movies" books; so far as I know it hasn't been released on either VHS or DVD. But it has shown up a couple of times in recent years on the Turner Classic Movies cable network - usually late at night or very early in the morning.
Much of the movie was shot on board the U.S.S. Arizona. There are quite a few interesting on board scenes - including one in which, with all the officers wearing their dress uniforms, swords, and fore-and-aft hats, Cagney gets presented with a medal. There's also a memorable explosion inside a 14" turret. (Paul Stillwell, in his book about the Arizona, suggests that those scenes may have been shot inside a studio mockup of the turret interior - but if so the moviemakers were mighty careful to get it right.)
The plot (such as it is) revolves around a rivalry between Cagney, a young, swaggering sailor, and Pat O'Brian, who plays an older, relatively straight-laced chief petty officer. In the grand finale, the two of them jump out of the airship Macon (which crashed a year after the movie was released), and are saved by one parachute.
The two male leads are also involved in a love triangle, the hypotenuse of which is the 24-year-old Gloria Stuart. Sixty-three years later, she played the old lady with the diamond in "Titanic."
Here's the Wikipedia entry for "Here Comes the Navy": http://en.wikipedia.org/wiki/Here_Comes_the_Navy
Definitely worth staying up late the next time TCM shows it.
Schoonerbum's answer wasn't the one I had in mind, but I guess it meets the criteria. I therefore suggest that we award Schoonerbum the next question.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.