I think you may have applied to medical school and could not get in, and ascribe to the "guild mentality" of many I have met on FR. Did you know it's also very tough to get into pharmacy school and nursing school? It is very expensive to educate any kind of medical personnel. It's not like a walk down neighborhood law school in a basement.
The problem with the cost of medical care is indeed a lack of free market--and ruinous regulations and taxes. But different states have different licensing requirements, designed to stop incompetent doctors and other personnel from crossing over state lines to avoid disasters in the first state. I'd say the states should be allowed their "market" as well, and let the citizens vote with their feet--to India, if need be.
Add veterinary school to your list.