James "Jim" Burke (February 20, 1936 – May 11, 2006) was an American wrestler. He was a bronze medalist at the 1962 Greco-Roman World Championships, making him the first American to win a medal at the Greco-Roman World Championships. He also competed in the men's Greco-Roman lightweight division at the 1964 Summer Olympics. In 1965, he was on both the Greco-Roman and Freestyle USA World Teams.