Kubicka won silver at the 1972 Grand Prix International St. Gervais, gold at the 1974 Prague Skate, and bronze at the 1975 Skate Canada International. At the 1974 U.S. Championships, he became the first American to land the triple Lutz jump in competition. He landed three triple jumps in his long program and in the process won second place and a spot at the World Championships. Kubicka said that he had landed it in the short program but it was not filmed so he did it again in the long. Next year, he won silver at the U.S. Championships and competed at the World Championships again.