The Red Cross offers a 16-hour "Wilderness First Aid" course (which you may also find kind of lame) and some chapters offer a 40-60 hour "Emergency Responder" course. This will get into more than their typical airway, breathing, circulation, serious bleeding and shock. It also includes some training scenarios, as there is nothing like "hands on" learning. When evaluating the quality of a training course, it is best to evaluate the quality of the instructors first. If they have some "been there, done that" experience, and know HOW TO TEACH ADULTS, then you will probably have a much better experience and learn lots.

You might also become a "victim" in a mock emergency drill (airports usually have them). Being around lots of screaming, chaos, and fake blood may teach you things about yourself. I.E. you may find that you are good under pressure, or you may find that you don't like to be around big medical emergencies.

As part of my job, I must requalify every year in first responder first aid, CPR, AED, and related medical topics. Personally, I find that I learn more from the instructors by taking them to lunch and asking questions there, than I do in the classes themselves.
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"We are not allowed to stop thinking"