January 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.
January 29 – After a second petition for partition from its residents, the North Carolina General Assembly abolishes Bute County, North Carolina (established 1764) by dividing it and naming the northern portion Warren County (for Revolutionary War hero Joseph Warren), the southern portion Franklin County (for Benjamin Franklin). The General Assembly also establishes Warrenton (also named for Joseph Warren) to be the seat of Warren County, and Louisburg (named for Louis XVI of France) to be the seat of Franklin County.
February 12 – Lieutenant Colonel Francisco Bouligny arrives with Malagueño colonists at Bayou Teche, to establish the city of New Iberia, Louisiana.
February 14 – Captain James Cook is killed on the Sandwich Islands, on his third voyage.
April 12 – Spain and France secretly sign the Convention of Aranjuez, with Spain joining an alliance against Great Britain in return for France's pledge to recover all Spanish territory lost to the British. 
May 13 – War of the Bavarian Succession – Russian and French mediators at the Congress of Teschen negotiate an end to the war. In the agreement Austria receives a part of the Bavarian territory (the Innviertel), and relinquishes the rest.
June 1 – American Revolutionary War – Benedict Arnold is court-martialed for malfeasance, in his treatment of government property.
June 16 – American Revolutionary War – In support of the U.S., Spain declares war on Britain.
July 16 – American Revolutionary War – United States forces, led by General Anthony Wayne, capture Stony Point, New York from British troops. July 16 –
Declaratory Rescript of the Illyrian Nation issued in order to regulate organization of Eastern Orthodox Church in Habsburg Monarchy.
July 20 – Tekle Giyorgis I begins the first of his five reigns as Emperor of Ethiopia.
July 22 – Battle of Minisink: The Goshen Militia is destroyed by Joseph Brant's forces.
July 24 – American Revolutionary War – American forces, led by Commodore Dudley Saltonstall, launch the Penobscot Expedition in what is now Castine, Maine, resulting in the worst naval defeat in U.S. history (until Pearl Harbor).
July – The Great Siege of Gibraltar (fourteenth and last military siege) begins. This is an action by French and Spanish forces to wrest control of Gibraltar from the established British garrison. The garrison, led by George Augustus Eliott (later 1st Baron Heathfield of Gibraltar), survives all attacks and a blockade of supplies.
September 14– 15 – American Revolutionary War – Little Beard's Town, a loyalist stronghold, is burnt by the Sullivan Expedition.
September 23 – American Revolutionary War – Battle of Flamborough Head – The American ship , commanded by Bonhomme Richard John Paul Jones, engages the British ship HMS . The Serapis Bonhomme Richard sinks, but the Americans board the Serapis and other vessels, and are victorious.
January 5 – Stephen Decatur, American naval officer (d. 1820)
January 18 – Peter Mark Roget, British lexicographer (d. 1869)
February 1 – Nikolaus von Krufft, Austrian composer and civil servant (d. 1818)
March 6 – Antoine-Henri Jomini, French general (d. 1869)
March 15 – William Lamb, 2nd Viscount Melbourne, Prime Minister of the United Kingdom (d. 1848)
May 28 – Thomas Moore, Irish poet (d. 1852)
June 20 – Dorothy Ann Thrupp, British psalmist, hymnwriter, translator (d. 1847)
July 8 – Giorgio Pullicino, Maltese painter and architect (d. 1851)
August 1 – Francis Scott Key, American lawyer, lyricist (d. 1843)
August 8 – Benjamin Silliman, American chemist, educator and abolitionist (d. 1864)
August 20 – Jöns Jacob Berzelius, Swedish chemist (d. 1848)
August 29 – Jean-Auguste-Dominique Ingres, French painter (d. 1867)
September 8 – Mustafa IV, sultan of the Ottoman Empire (d. 1808)
September 18 – Joseph Story, Associate Justice of the Supreme Court of the United States (d. 1845)
November 14 – Adam Gottlob Oehlenschläger, Danish poet (d. 1850)
December 12 – Madeleine Sophie Barat, French Catholic saint, founder of the Society of the Sacred Heart (d. 1865) date unknown
January 3 – Claude Bourgelat, French veterinary surgeon (b. 1712)
January 20 – David Garrick, English actor (b. 1717)
January 22 – Jeremiah Dixon, English surveyor, astronomer (b. 1733)
February 7 – William Boyce, English composer (b. 1711)
February 14 – James Cook, British naval captain and explorer (b. 1728)
February 24 – Paul Daniel Longolius, German encyclopedist (b. 1704)
April 7 – Martha Ray (b. 1742), British singer and mistress of John Montagu, Earl of Sandwich (murdered) (b. 1742)
April 9 – Antonio María de Bucareli y Ursúa, Spanish military officer (b. 1717)
April 24 – Eleazar Wheelock, American founder of Dartmouth College (b. 1711)
May 3 – John Winthrop, American astronomer (b. 1714)
June 7 – William Warburton, English critic, Bishop of Gloucester (b. 1698)
June 10 – Jane Gomeldon, English writer, poet and adventurer (b. 1720)
June 16 – Sir Francis Bernard, 1st Baronet, Colonial governor of New Jersey and Massachusetts Bay (b. 1712)
June 23 – Ras Mikael Sehul, Enderase of Ethiopia
June 28 – Martha Daniell Logan, American botanist (b. 1704)
June 29 – Anton Raphael Mengs, German-Bohemian painter (b. 1728)
July 21 – Caleb Fleming, English dissenting minister, polemicist (b. 1698)
August 26 – Henrika Juliana von Liewen, Swedish political salonniére (b. 1709)
September 12 – Richard Grenville-Temple, 2nd Earl Temple, English politician (b. 1711)
October 11 – Kazimierz Pułaski, veteran commander of Polish, Russian, and American troops (b. 1745)
November 16 – Pehr Kalm, Finnish explorer and naturalist (b. 1716)
December 6 – Jean-Baptiste-Siméon Chardin, French painter (b. 1699)
December 8 – Nathan Alcock, English physician (b. 1707)
December 16 – Emperor Go-Momozono of Japan (b. 1758)
December 17 – Giuseppe Carcani, Italian composer (b. 1703)
Giuseppe Bonici, Maltese architect, military engineer (b. 1707)
^ Robert W. Smith,
Amid a Warring World: American Foreign Relations, 1775-1815 (Potomac Books, 2012)
^ William Nester,
The Revolutionary Years, 1775-1789: The Art of American Power During the Early Republic (Potomac Books, 2011) p53
Harper's Encyclopaedia of United States History from 458 A. D. to 1909, ed. by Benson John Lossing and, Woodrow Wilson (Harper & Brothers, 1910) p166
"Icons, a portrait of England 1750–1800". Archived from the original on August 17, 2007 . Retrieved . August 27, 2007
^ a b
Williams, Hywel (2005). . London: Weidenfeld & Nicolson. pp. Cassell's Chronology of World History 333–334. ISBN . 0-304-35730-8 Further reading