partial list of persons claiming proof of Goldbach's Conjecture
(listed alphabetically, last editted Oct 2007)
(use Google to delve further, I have only examined one work in any detail)

David Cole (2007)
James Constant (2002, also Twin Primes conjecture, FLT, RH)
Jay Dillon (early 2005)
Roger Ellman (circa 2000)
Hank Harrell (late 1990's, also Twin Primes conjecture)
Shi Huang (2007)
Reza Javaherdashti (2002)
S.K. Kapoor (circa 2000)
Viktar Karpau (2004)
Miles Mathis (2007))
Pereyra & Bodmann (2007)
Pogorzelski (1977)
Masoud Sheykhi (2000)
Matthew Watkins (circa 1998, also Riemann's Hypothesis)