Veterans Agent Orange Exposure Equity Act This bill expands the presumption of service-connection for diseases associated with exposure to certain herbicide agents for veterans who served in Vietnam between January 9, 1962, and May 7, 1975. Under a presumption of service-connection, specific conditions diagnosed in certain veterans are presumed to have been caused by the circumstances of their military service. Health care benefits and disability compensation may then be awarded. Specifically, the bill expands the presumption to cover veterans who served in Thailand at a U.S. Army base or Royal Thai Air Force base between January 9, 1962, and May 7, 1975; at the Royal Thai Army Replacement Training Center, Pranburi Military Reservation between January 1, 1964, and April 30, 1964; in Laos between December 1, 1965, and September 30, 1969; or in Cambodia at Mimot or Krek, Kompon Cham Province between April 16, 1969, and April 30, 1969.