In Romania the employer takes a cut from the employee's salary and gives it to a government agency for the health insurance (some thing with income tax, social security (pension), etc). I think this is happening in other European countries as well.
Some employers also offer as a bonus a sort of subscription at a private clinic, so you can see a private doctor or have an operation for a lower price or even for free.
In the USA the government health programs for people in low incomes, children and pensioners cost about as much as a typical European single payer health system. Then tax payers get to pay to be gouged by health insurance companies to get any cover for themselves.
Some employers also offer as a bonus a sort of subscription at a private clinic, so you can see a private doctor or have an operation for a lower price or even for free.