In 1993 Biryukova won a gold medal at the World Championships by jumping 15.09 metres, a new world record. She reportedly believed she had the capability of jumping 16 metres, but in 1994 she didn't reach the 15 metre mark once, although she did become European champion that season. In 1995 she starred in the World Championships, and she almost reached old heights by jumping 15.08 metres. Women's triple jump had progressed, however, and she only managed a bronze medal behind Iva Prandzheva (15.15m) and Inessa Kravets, who jumped a world record of 15.50 metres up to Yulimar Rojas at 15.67m, the world record, was set during the 2020 Summer Olympics in Tokyo, Japan on August 1, 2021.
Anna Biryukova also competed in long jump from time to time, and her personal best is 6.64 metres.