Unfortunately, the requirements even to apply are so stringent that I seriously doubt that anyone who isn't already a practiced charlatan and media hound could meet them.
My understanding is that JREF was wasting so much time and resources fielding crackpots who couldn't even produce a coherent explanation of what exactly they can do that they instituted the stricter requirements to filter things down to a manageable number of applicants.
But the prize WAS on the table with no more than a notarized application as a requirement for about 50 years, as I recall.
If I thought I had psychic powers, I would very much want to take the challenge to see if Randi could rule out the possibility that I was deluding myself.
No need for JREF to do that. Any one of the following will gladly help you test yourself:
There's the Australian Skeptics' AU$100,000 Prize
http://www.skeptics.com.au/features/prize/
They also offer AU$20,000 as a "Spotter's Fee"
There's the IIG's US$50,000 Challenge in California, USA
They now have affiliates in Atlanta, GA and Washington, DC and are developing affiliates in Denver, CO, Calgary, Canada and probably other places as well.
http://www.iigwest.org/challenge.html
They also offer US$5,000 as a "Finder's Fee"
There's the North Texas Skeptic's US$12,000 Challenge in the USA
http://www.ntskeptics.org/challenge/challenge.htm
There's Prabir Ghosh's 2,000,000 Rupee Challenge in India
http://rationalistprabir.bravehost.com/
There's the Swedish 100,000SeK prize offered by Humanisterna
http://www.humanisterna.se/index.php...d=27&Itemid=49
The Tampa Bay Skeptics offers a US$1000 prize in Florida, USA
http://www.tampabayskeptics.org/challenges.html
In Canada there's the CAN$10,000 from the Quebec Skeptics
http://www.sceptiques.qc.ca/activites/defi
In the UK, the ASKE organization offers £14,000
http://www.aske-skeptics.org.uk/challenge_rules.htm
Tony Youens in the UK offers £5,000
http://www.tonyyouens.com/challenge.htm
In Finland, Skepsis offers 10,000 Euros
http://www.skepsis.fi/haaste/
The Fayetteville Freethinkers in Arkansas, USA offer a US$1000 prize
http://fayfreethinkers.com/
There's a 1,000,000 Yuan prize in China offered by Sima Nan. This is his blog:
http://blog.sina.com.cn/simanan
The Belgian SKEPP organization offers a 10,500 Euro prize
http://www.skepp.be/prijzen/de-sisyphus-prijs/