Public Interest Declassification Board Reauthorization Act of 2014 - Amends the Public Interest Declassification Act of 2000 to extend through December 31, 2015, the authority of the Public Interest Declassification Board (advises the President, the Assistant to the President for National Security Affairs, the Office of Management and Budget [OMB], and other executive branch officials on the identification, collection, review for declassification, and release to Congress, interested agencies, and the public of declassified records and materials that are of archival value).