I wish something would happen. I just got interested in Mr. Randi and the foundation and I'd love to read more recent details about how Mr. Randi proves people wrong, especially on how Mr. Randi can EXPLAIN exactly how they did it. =D
As alfaniner pointed out, the only "proving people wrong" that Randi does is giving people a chance to do what they claim, and then documenting their failure. If I say that I can tell you what a card is inside a sealed, opaque envelope, then either I can or I can't -- and Randi will gladly videotape me trying.
The other part, of course, is that a lot of the really
public paranormalists are doing the same sort of thing that stage magicians have been doing for years. Uri Geller's "paranormal" ability to bend spoons, for example, looks a lot like what people have been doing on stage for a century. (I think that Robert-Houdin had a spoon-bending trick in the 1870s.) Randi, being a professional magician, knows many of these tricks and can take simple countermeasures against them -- for example, he uses videotapes precisely because they aren't subject to misdirection and he can go through them frame by frame looking for sleight of hand moves. He knows how to tie a blindfold so that you can see through it and how you can't. He knows about trick knots. &c.
That doesn't mean that he can "explain" how someone else did a trick; just because Randi could do an effect using a trick knot doesn't mean that someone else's effect uses the same trick knot. But if Randi can show how to do it with trick knots -- and then if the effect doesn't work when the claimant is constrained to use real knots -- you can draw your own conclusion about whether the effect is genuine or not.
More importantly, though, is that he understands simple psychology like self-deception and selective memory. Most of the claimants he tests are not actually frauds. They've simply never formalized what they can do and done it in a controlled test. So more often, he simply lets people try to do what they've actually done once or twice (by chance) but they claim to be able to do at will.