You may remember the case of Craig Philips from the first run of Big Brother, he donated his £70,000 prize money to go towards getting a Downs Syndrome-suffering friend of his a heart+lung transplant performed in the USA, total cost: £250,000 (then tack on the trouble of finding a good heart+lung match).
I remember him giving an interview on TV where he described how the NHS didn't consider her case a priority because she had a bad prognosis (indeed, she died in April 2008, meaning she got about 7 years). By a strict definition this is "rationing" (but please don't throw around the word "socialist" as though it's some derogative, you should know better than name-calling) but I ask how any (seemingly) amoral US-based health insurance company would possibly fund the same operation: fact it they probably wouldn't on account of the "pre-existing" Downs Syndrome so he would have had to shell out at least £250,000 (at least $450,000 in today's money) for the operation.
But in any event: isolated incidents like these do not provide an accurate representation of the system. The NHS saved my life, and countless others, and I'm not bankrupt because of it.