In a peer-reviewed study(abstract here and full text (PDF) here), two researchers from the University of Pennsylvania compared US health statistics with those from Europe. Here are their results for 5-year cancer survival rates:
The US does better in all categories and often dramatically better. If you get prostate cancer in the US, you have a mere 0.7% (5-year) chance of dying from it. In Europe, it is thirty times worse: 22.5%.
Numbers such as these are always questionable because different countries gather statistics differently. Since Obamacare has forced the issue, however, we need to compare with the best numbers we can find. In this case, that appears to be this U. Penn. study.
Hat tip: Prof. M. J. Perry.