Actually, there's a good way to gauge stamina and athleticism --- a certain type of obstacle course. Problem in describing it is that the numbers (times) wouldn't mean anything.
I remember at Annapolis (Naval Academy), there's this course that takes about 3 minutes for a good athlete. Climbing up large walls, moving on your belly, balancing on beams, swinging a rope, etc. If you can beat out 80% of the other guys, you're pretty fit, I'd say.
There are other obstacle courses in the services that are also good gauges. At the Academy there were a few guys who went Seal later, and they have a realistic obstacle course that's also a good test. You beat out half the guys there (all Seals are fit), you're fit.