This list is limited to first achievements by the USSR and USA which were important during the Space Race in terms of public perception and/or technical innovation. This excludes first uses of specific on-board equipment and new scientific discoveries, or achievements by other countries.
First lunarspacecraft (fly-by) First rocket engine restart in Earth orbit First spacecraft to leave Earth's orbit First spacecraft on an escape trajectory from Earth
First three-axis stabilised spacecraft First photos of far side of the Moon, covering 70% of the surface invisible from Earth First automated on board development of photographic film and conversion to radio signals First gravity assist ('sling shot'), returning the spacecraft to Earth to retrieve the photos
First dual crewed spaceflight (Andriyan Nikolayev and Pavel Popovich) First spacecraft-to-spacecraft radio contact First simultaneous flight of crewed spacecraft. First person to float freely in microgravity.
^After the first multinational crewed mission in July 1975, the competition continued to exist, but transitioned in intensity from a state of intense competition to one of cooperation by the dissolution of the Soviet Union and end of the Cold War on 26 December 1991.
Harford, James J. (1997). Korolev: How One Man Masterminded the Soviet Drive to Beat America to the Moon (1 ed.). New York: John Wiley & Sons. ISBN978-0-471-14853-1.
Various conventions, treaties, agreements, memorandums, charters or declarations establishing and governing intergovernmental organisations or inter-agency bodies dealing with space affairs