The Singapore Healthcare is generally admired to be of high quality at ridiculously low cost. Singapore spends 4% of her GDP as compared to 17% in America, with better outcomes. In the Undercover Economist, Tim Harford had openly admired the healthcare system of Singapore back in 2008: http://econlog.econlib.org/archives/2008/01/singapores_heal.html
Recently, some opinion leaders had explored learning from the Singapore system: http://www.huffingtonpost.com/2013/08/29/most-efficient-healthcare_n_3825477.html
I am a doctor in Singapore and am proud of our system.
However, people who advocate learning from the Singapore system would do well to read Dr Jeremy Lim’s Myth or Magic: the Singapore Healthcare System. He detailed what the government had to do to make our healthcare system so efficient. A lot of government intervention is required. The government controls the whole system, including the supply, the demand and the prices. Then the free market is allowed to function for the efficiency.
Whether this system can be replicated elsewhere is not something I can answer. Readers of this book can decide whether this is possible.