Amerasian Paternity Recognition Act - Amends the Immigration and Nationality Act to confer automatic citizenship on aliens residing in the United States in lawful permanent resident status: (1) pursuant to a classification petition approved under a provision that gives preferential treatment to persons born in Korea, Vietnam, Laos, Kampuchea, or Thailand after 1950 and before October 22, 1982, and fathered by a U.S. citizen; or (2) who were born in Vietnam after January 1, 1962, and before January 1, 1976, and fathered by a U.S. citizen.