Sure - in America, healthcare is far from a free market because:
1) We don’t pay our own healthcare bills, we pay for our healthcare through insurance. As a result, there isn’t a pricing system in place, much like there is for other critical goods and services with price-inelastic demand like food and housing. This is caused by regulations that require employers to provide health insurance for their employees, and most recently the mandate that requires individuals to purchase insurance. We’ve essentially forced a world in which insurance is the only way one can pay for healthcare.
2) Our healthcare supply is artificially limited, which forces higher up prices. The MRI “certificate of need” is one such example, there are countless others. Medical licensure, in general, drives up the price to see just a primary care physician. In the US, just becoming a basic physician that prescribes antibiotics takes at least 8 years of expensive schooling. As a result, doctors in America earn more than their counterparts in every other country (adjusted for PPP)[1].
There are a couple solutions that the market can bring about. One of them is to get rid of the employer mandate. The fact that I have to worry about losing my insurance if I get fired or leave my job is totally bonkers. I don’t have to worry about that at all with my car insurance, it’s a cheap monthly premium that adds on to my cost of living, just like my monthly food expenses or my shelter expenses (read: rent). The reason why non-employer provided healthcare is more expensive is that the pool of people buying that type of insurance is much smaller than the pool of people that are happily receiving their employer-provided health insurance. If every single one of these employees participated in the same insurance market as those that are either unemployed or self-employed, premiums can come down.
The other solution is cut out insurance for most healthcare. We don’t use car insurance to pay for oil changes and servicing, we only use it to pay for catastrophic accidents. Absent the regulations we have today, the market might look the same for healthcare: you pay out of pocket for basic healthcare like going to the doctor when you’re sick or other preventative care (sort of like an oil change for your body). Insurance might kick in when you get cancer or heart disease. I come from India, where it costs about Rs. 500 out of pocket to see a good doctor that has an MBBS. This is the price of a movie ticket, in India. The concept of using insurance to pay for such care is unheard of. In America, paying for a general checkup, without insurance, can cost $300 out of pocket - absolutely absurd.
Singapore is a great example of a country that has a largely market driven healthcare system. Unless you’re poor, you pay out of pocket for all healthcare, in a private market. The government steps in and pays for healthcare for poor people, and for catastrophic care (think: universal high deductible healthcare plans).
[1] https://economix.blogs.nytimes.com/2009/07/15/how-much-do-do...