Swings and Roundabouts
Being English I spent the first 30 years of my life in the Great British NHS system and then after moving to the US I've spent the last 14 years with private insurance.
There are so many misconceptions on both sides of the Atlantic and of course even when you do tell people how it really is, no one believes it anyway.
What I will say though is shouting that you pay more than we do (that's both of you).. you're wrong. You pay roughly the same and the care you get is pretty much identical. That $200 a month covers the whole family, it is not a per person amount. As long as your 'children' are under 26 that is, otherwise you have to ask the question - why haven't they got jobs yet?
There are a few differences. You almost always get a private room in the US and the hospitals have more carpeting. On the other hand in England most doctors still do house calls. The procedures are the same in both countries, waiting lists are similar - in the US you tend to have to wait a long time to see a specialist, surgery is then almost immediate, sometimes as soon as the same day.. in the UK you tend to get to see the specialist right away but then have to wait to get the surgery. Different areas have better availability depending on where specialists have decided to live.
I know English people want to believe that you get thrown out of hospitals if you don't have money or insurance, but that's illegal. And the US has always had government backed health insurance, but it's only offered to the most vulnerable groups, such as the unemployed, disabled, seniors and children. I know Americans want to believe that European doctors still hack off limbs without putting the patient under, but that is also illegal outside of Scotland.
When it comes to prescriptions Americans pay far more than anyone else, mostly because insurance companies are willing to pay whatever they're asked. That can be hard if you don't have prescription drug coverage. On the other hand they get access to the new stuff well before anyone else, which usually doesn't matter but for an extreme minority is the difference between life and death.
I still say the most significant difference between health services in the two countries is that carpeting tho.