Shroud of Turin
I'm not one to listen to Sean Hannity, but I did catch a bit of his show on XM during a drive today. The subject was the Shroud of Turin, claimed to be the shroud Christ was wrapped in but demonstrated rather conclusively to be a fourteenth century fake. the interesting part to me was that the Catholic Church, which did sent a bit of the fabric out for Carbon 14 testing a couple of decades ago (which demonstrated the age and fakery) now refuses to let skeptics view the Shroud.
Less interesting, but even more predictable, are the responses of the defenders of the Shroud, who grasp at implausible straws even as the Church continues to try to hide the fraud. Very remniscent of the behavior of the deniers of Anthropogenic global Warming.