1771January 5 – The Great Kalmyk (Torghut) Migration is led by Ubashi Khan, from the east bank of the Lower Volga River back to the homeland of Dzungaria, at this time under Qing Dynasty rule. January 9 – Emperor Go-Momozono accedes to the throne of Japan, following his aunt's abdication. February 12 – Upon the death of Adolf Frederick, he is succeeded as King of Sweden by his son Gustav III. At the time, however, Gustav is unaware of this, since he is abroad in Paris. The news of his father's death reaches him about a month later.
1781January – William Pitt the Younger, later Prime Minister of Great Britain, enters Parliament, aged 21. January 1 – Industrial Revolution: The Iron Bridge opens across the River Severn in England. January 2 – Virginia passes a law ceding its western land claims, paving the way for Maryland to ratify the Articles of Confederation. January 5 – American Revolutionary War: Richmond, Virginia is burned by British naval forces, led by Benedict Arnold.
1787January 9 – The North Carolina General Assembly authorizes nine commissioners to purchase of land for the seat of Chatham County. The town is named Pittsborough (later shortened to Pittsboro), for William Pitt the Younger. January 11 – William Herschel discovers Titania and Oberon, two moons of Uranus. January 19 – Mozart's Symphony No. 38 is premièred in Prague. February 2 – Arthur St. Clair of Pennsylvania is chosen as the new President of the Congress of the Confederation. February 4 – Shays' Rebellion in Massachusetts fails.
1779January 11 – British troops surrender to the Marathas in Wadgaon, India, and are forced to return all territories acquired since 1773. January 11 – Ching-Thang Khomba is crowned King of Manipur. January 22 – American Revolutionary War – Claudius Smith is hanged at Goshen, Orange County, New York for supposed acts of terrorism upon the people of the surrounding communities.
1794January 1 – The Stibo Group is founded by Niels Lund as a printing company in Aarhus (Denmark). January 13 – The U.S. Congress enacts a law providing for, effective May 1, 1795, a United States flag of 15 stars and 15 stripes, in recognition of the recent admission of Vermont and Kentucky as the 14th and 15th states. A subsequent act restores the number of stripes to 13, but provides for additional stars upon the admission of each additional state.