Taiwan has a single payer healthcare. Seems to work pretty well. I have not had to use too much, but I know growing up as a poor family, it helped us and continues to help my mother.
(NOTE: I know taiwan is very different from the US. Population (25 million vs. 300 million, cultural differences, etc.)
Some points on Taiwan healthcare
the government spends only one percent of its health care budget on administration. In US, insurers spend 12 percent of their revenue on administration. And, administrative costs account for 25 percent of hospitals’ budgets.
Patients’ medical records are all on one system. Taiwan uses a national electronic health records database.
health insurance premium payments take the form of payroll contributions (5.17 percent of income)
Progressive income taxes and additional taxes on lottery tickets and tobacco also help fund the Taiwanese health care system. And, the Taiwanese government imposes a copay of about $12 whenever people use the medical system, unless they are low-income. Taiwanese with greater incomes can buy private insurance to pay for services their public system does not pay for.
Taiwan spends six percent of GDP on health care, as compared to 17.7 percent in the US.