[DanBC]

I'm not so sure that's true. I think prices compare pretty well with the US. Here's one website found pseudorandomly via a web search. (http://www.bmihealthcare.co.uk/paying-for-yourself)

Notice that they offer many surgeries "at a fixed price" and that all costs are known before surgery starts. I'm not sure what happens if there are complications; whether those are covered or not.

(I would have called them to get a quote, but they're not open yet.)