The President's Council on Physical Fitness and Sports may have drafted thee guidelines:http://www.fitness.gov/fitness. htm.

I believe that 30 minutes of activity reduces disease b/c of the stimulation of the circulatory, endocrine, nervous and respiratory systems...it gets things moving! I'd say that the other attributes that you recognize may not be included in the definition of "fitness" because they are a bit like "add-ons" and non-essential to health, but are more performance and competitive based by nature.

A lot of the things you've named are actually included in the main 5, and others just simply can't be worked on. You can improve slightly, but you'll never see an extreme change in your reaction time or coordination.

Running ability isn't fair. Why not swimming ability? Jumping ability? Cart-wheel ability? (see how that doesn't work? the list would be endless)

Speed, muscles explosivness, balance... these are all muscle strength. Although you need to remember that some people don't work the same as others, its why some people are born sprinters and others are born distance trainers. Both are fit and they vary significantly in all these.

The 5 standards for fitness are very broad topics and should be able to include a lot of specific-- but very important-- possible definitions of fitness.

Explosiveness is muscle strength? I always thought that it was more how much power you can pump out in a limited time as opposed to how much maximal strength you have.

I thought running ability would count since many PE teachers test it and since its a physical attribute useful across many, many sports. Cartwheel ability would only help in like gymnastics and swimming ability only in swimming/water-polo. Does that kind of make sense?