[Doczilla]

I'm afraid I don't quite know the setting you are in, which might be helpful, or what age groups you typically deal with, but I agree with SS's recommendations. I would add the following:
Bacitracin ointment
Epi pen autoinjector or 1cc syringes with ampules of 1:1000 epinephrine. The latter is far smaller and cheaper, but there may be legal issues with who can administer them. Bees and related insects kill more people every year than all other animal attacks combined, so regardless, I would have epi in my kit.
Albuterol inhaler
A couple of bandaids
Ace bandage or two
For tape, I'd get 2" cloth athletic tape, and that's all. Versatile, strong, and a good adhesive.
Nasopharyngeal airway (NPA)
Baby aspirin (for suspected cardiac chest pain)
Other meds: benadryl, claritin, tylenol, advil, immodium, oral glucose gel

A couple of things that you probably always have, but never hurts to have a small backup (travel section at Target):
sunblock
bug repellent

I agree completely with the SAM splints, and I feel they are a lot more versatile than the inflatable ones. You can essentially make any splint you can think of, including a c-collar for spinal immobilization.

'zilla