I'm gonna go with the classic TL style once more with some butterflies from the Cold War. It's long past due since posting anything like this:
October 4, 1957: USSR launched Sputnik 1 into space, which is the first artificial satellite.
January 31, 1958: USA sent up their first satellite Explorer I into space.
April 27, 1958: Sputnik 3 launched by USSR.
January 20, 1961: Inauguration of President Kennedy.
April 12, 1961: Cosmonaut Yuri Gagarin became the first man in space and in orbit.
May 5, 1961: NASA's Alan Shepard is the first American in space with a 15 minute suborbital flight.
May 25, 1961: US President Kennedy delivers his speech to put a man on the Moon in the Congress.
February 20, 1962: John Glenn became the first American to orbit the Earth.
July 22, 1962: Mariner 1 is launched, and would become the first probe to fly by a planet (Venus) later. (Butterfly POD)
April 26, 1967: Soyuz 1 disaster.
1968: Apollo 8 became the first manned mission to orbit the Moon. Yuri Gagarin is still alive by the end of this year ITTL. (Butterfly POD 2)
July 20, 1969: Apollo 11 landed on the Moon which is the first manned mission to do so.
October 6 - 25, 1973: Yom Kippur War.
Circa 1974: Pioneer H is launched as an out-of-the ecliptic mission. Project Azorian is a full success with all the Soviet submarine K-129's components raised from the sea. (Butterfly POD 3)
July 15, 1975: Apollo Soyuz test project is launched into space.
September 5, 1977: NASA launched Voyager 1 to the outer planets and beyond.
1984: Mikhail Gorbachev took over the leadership after Andropov's death. As a result of his anti-alcohol campaign Gagarin who is known to be fond of alcohol began to be sidelined and marginalised from their mainstream.
1988: By this point Yuri Gagarin is appointed as a goodwill ambassador and is sent to the US for the job.
1989: China's Tiananmen protests are suppressed violently, resulted in international condemnation and consternation. George Bush became the president after Reagan served only a term.
1991: The Gulf War which saw Saddamist forces pushed out from Kuwait where they invaded earlier. The Dissolution of the Soviet Union.
1992: Bill Clinton won the presidential election.
1993: After some hurdles Yuri Gagarin managed to emigrate to USA due to reduced opportunities after the USSR's fall. He settled in Houston, Texas.
1994: Taliban took over power in Afghanistan.
2000: The Al Qaeda millennium attack plots succeeds, as a result Bush began to capitalize on anti-terrorism to boost his popularity. Then on the same year's election he expectedly won both the electoral & popular votes.
2001: The 9/11 disaster, although the passengers of United Airlines Flight 93 successfully overpowered their hijackers and managed to land safely and the scale is much reduced than OTL with the Pentagon not hit by a plane.
2003: Iraq War.
January 19, 2006: NASA launches space probe New Horizons.
October 9, 2006: North Korea explode its first nuke.
January 20, 2009: Barack Obama became the US president.
December 18, 2010: Start of the Arab Spring and eventual civil wars across many Arabic countries.
2011: Osama bin Laden is captured and killed by US SEAL teams.
April 13, 2012: North Korea launched its first satellite into space.
July 14, 2015: New Horizons flew by Pluto.
January 20, 2017: Hillary Rodham Clinton is inaugurated as the President of the United States.
January 3, 2019: Chinese Chang'e 4 lander became the first to land on lunar far-side.
January 12, 2019: Saudi teen Rahaf Mohammed granted asylum by Australia after she was briefly detained at Bangkok airport for fleeing her abusive family.