Despite spending nearly twice the amount on health that we do (14.6% of GDP compared to our 7.7% of GDP), the US has infant mortality rates, comparable with the third world in its big cities.
The US has the best healthcare in the world available for the very rich, but appalling healthcare provision for the large percentage of its population that can't afford the health premiums.
In terms of cancer deaths, despite their massive extra health spending, the US compares badly with us.
They have 322 deaths per 100,000, compared to our 254 deaths per 100,000.
I know there are other factors involved here, but the biggest single factor that cause cancer- that of smoking prevalence, is actually lower in the US. The UK has 26% of adults smoking, compared to the US figure of 21%.
The UK also has a higher life expectancy.
This suggests to me that the extra costs in administration that private health firms have of determining and collecting individual premiums and of advertising costs make a massive difference. These are serious inefficiencies that the NHS doesn't have to worry about.