Rita Nikolayevna Achkina (Russian: Рита Николаевна Ачкина; born 1 February 1938) is a retired Belarusian cross-country skier. In 1965 she won the 5 km, 10 km and 3 × 5 km relay events at the Soviet championships. Next year she earned two medals at the 1966 FIS Nordic World Ski Championships with a gold in the 3 × 5 km relay and a bronze in the 5 km. She competed in these two events at the 1968 Winter Olympics and won a bronze medal in the relay, placing sixth individually. After retiring from competitions she worked as elementary school teacher.