January 1 – The British Empire (except Scotland, which had changed New Year's Day to 1 January in 1600) adopts today as the first day of the year as part of adoption of the Gregorian calendar, which is completed in September: today is the first day of the New Year under the terms of last year's Calendar Act of the British Parliament.
October 19 — In his Philadelphia newspaper, the Pennsylvania Gazette, Benjamin Franklin first describes the performance, in Philadelphia of the kite experiment that he had proposed in his 1750 book. Although the original account makes no claim that he was the first to do the experiment (which had been done by other scientists (including Thomas-François Dalibard in May), nor that he conducted the test, and it does not give a date for the experiment, it becomes embellished as the story that Franklin "discovered electricity"; in 1766, the story first circulates that Franklin flew the kite in June, 1752, without specifying a date (as Franklin had done in other scientific accounts). 
Philadelphia Contributionship for the Insurance of Houses from Loss by Fire, the oldest property insurance company in the United States, is organized as a mutual organisation by Benjamin Franklin; it continues in existence into the 21st century.
February 25 – Guatemalan Sergeant Major Melchor de Mencos y Varón departs the city of Santiago de los Caballeros de Guatemala with an infantry battalion to fight British pirates that are reportedly disembarking on the coasts of Petén (modern-day Belize), and sacking the nearby towns.
July 25 – The decision to deport the Acadians is made, during meetings of the Nova Scotia Council meeting in Halifax. From September 1755-June 1763, the vast majority of Acadians are deported to one of the following British Colonies in America: Massachusetts, Connecticut, New York, Pennsylvania, Maryland, Virginia, North Carolina, South Carolina and Georgia. Contrary to popular belief, no Acadians are sent to Louisiana. Those sent to Virginia are refused and then sent on to Liverpool, Bristol, Southampton and Penryn in England. In 1758 the Fortress of Louisbourg falls, and all of the civilian population of Isle Royal (Cape Breton Island) and Isle St. Jean (Prince Edward Island) are repatriated to France. Among them were several thousand Acadians, who had escaped the deportation by fleeing into those areas. Very few Acadians successfully escape the deportation, and do so only by fleeing into some of the northern sections of present day New Brunswick. The event inspires Longfellow to write the epic poem Evangeline.
February 10 – The massacre of the Guaraní rebels in the Jesuit reduction of Caaibaté takes place in Brazil after their leader, Noicola Neenguiru, defies an ultimatum to surrender by 2:00 in the afternoon.  Three days earlier, on February 7, Neenguiru's predecessor Sepé Tiaraju had been killed in a brief skirmish. As two o'clock arrives, a combined force of Spanish and Portuguese troops makes an assault on the first of the Seven Towns established as Jesuit missions. Defending their town with cannons made out of bamboo, the Guaraní suffer 1,511 dead, compared to three Spaniards and two Portuguese killed in battle. 
February 14 – The Maratha Navy that has controlled the western coast of India for the Maratha Empire for more than a century, is destroyed in the Battle of Vijaydurg by British attackers fighting for the East India Company. On orders of Royal Navy Admiral Charles Watson, the Royal Navy captures a Maratha ship (the former British warship HMS Restoration), sets it on fire, and then floats the burning vessel into the Vijaydurg Port where most of Maratha Admiral Tulaji Angre's ships are anchored. The fire soon spreads to the other ships, destroying one large warship armed with 74 cannon, eight gurabs of 200 tonnes apiece, and sixty galbat ships. 
December 14 – The play Douglas is performed for the first time in Edinburgh, with overwhelming success, in spite of the opposition of the local church presbytery, who summon Alexander Carlyle to answer for having attended its representation. However, it fails in its early promise to set up a new Scottish dramatic tradition.
February 2 – At Versailles in France, representatives of the Russian Empire and the Austrian Empire enter into an alliance against Prussia, with each nation pledging 80,000 troops.  Other clauses to the treaty, not disclosed to the public, commit Austria to pay Russia one million rubles per year during the war to pay for the expenses of 24,000 of the Russian troops, and two million rubles upon the conquest of Silesia (an Prussian province that had been seized from Austria in 1746). 
February 5 – The Nawab of Bengal, Siraj ud-Daulah, leads an attempt to retake Calcutta from the British. With just 1,900 soldiers and sailors, but superior cannon power, General Robert Clive forces the Nawab's much larger force into a retreat. The British sustain 194 casualties, but the Bengalis suffer 1,300. 
February 9 – The Nawab and General Clive sign the Treaty of Alinagar, with Bengal compensating the British East India Company for its losses and pledging respect for British control of India. 
March 14 — British Royal Navy Admiral John Byng is executed by a firing squad after his court martial conviction for failing to save British troops who had been besieged by a numerically superior French force at the Battle of Minorca.  General Edward Cornwallis, the ranking British Army officer at the battle, is exonerated of charges of dereliction of duty, but his career is ruined.
March 21 – Sweden signs an alliance treaty with France and Austria in the multinational effort to remove King Frederick the Great, even though Queen Consort Ulrika of Sweden is Frederick's sister. Sweden agrees to contribute 25,000 troops to the French and Austrian force. 
April 6 – William Pitt is dismissed from the government King George II to depart from the British government after several military reverses in Britain's fight against France in America. After a public outcry, Pitt is called back to conduct Britain's foreign and military affairs and given greater control. 
In the wake of public unrest in France, the King's Council issues a decree that bars anyone from writing, printing anything that would tend toward emouvoir les esprits (stir up popular sentiment) against the government, with violations punishable by death. 
April 29 – Inside a house at Stratford-upon-Avon in England, a bricklayer, identified only as "Mosely", discovers the testament of John Shakespeare, father of William Shakespeare, more than 150-years after the elder's death. The finding, done while Mosely is re-tiling the roof of what is now called Shakespeare's Birthplace, starts "what remains one of the most controversial topics in Shakespeare studies" because of disagreements over its authenticity. 
May 1 – France and Austria sign a second treaty of alliance at Versailles, committing France to sending an additional 105,000 troops to the war against Prussia, and to pay expenses to Austria at the rate of 12 million florins annually. 
June 25 – The 1755 rebellion against the Chinese Empire by Mongolian Oirat Prince Amursana is met by a Chinese army of 10,000 attackers against Amursana's 2,500 man force at their capital at Bor Tal. The rebels are able to hold out for 17 days before being routed. 
July 17 – Amursana's Mongolian rebellion against the Chinese Empire is crushed after a battle of 17 days, and the survivors flee to Russia, where Amursana unsuccessfully seeks Russian aid. 
September 13 – A column of troops from Sweden begins the surprise invasion of Prussia, setting up a pontoon bridge across the Peene River that marks the boundary between Swedish Pomerania and northern Prussia. After crossing at Loitz in the early morning hours, the troops march 10 kilometres (6.2 mi) and begin the occupation of the undefended Prussian town of Demmin. Hours later, another Swedish infantry regiment charges across the border into the Prussian town of Anklam, where the city gate had been left open. 
October 14 – Of the 442 men, women and children who are convicted for their roles in the Oporto riot in February, 13 men and one woman are hanged; afterward, their bodies are then quartered and the severed limbs are publicly displayed on spikes. Another 49 men and 10 women are exiled at Portuguese colonies in Africa and India, and the others are either flogged, imprisoned or pressed into service rowing galley ships. 
October 24 – 1757 Hajj caravan raid: Led by Bedouin warriors of the Beni Sakhr tribe conducts a massive assault against a caravan of thousands of Muslim travelers who are on their way back to Damascus after the Hajj, the pilgrimage to Mecca. The attack, made at Hallat Ammar after the group has been resupplied at Tabuk, leads to the annihilation of 20,000 of the pilgrims. Those who are not killed outright die later in the desert from thirst and starvation.  According to one Arabic source, the largest attack takes place on 10 Safar 1171 A.H. (October 24, 1757)
February 22 – A fleet of 158 British Royal Navy warships, under the command of Admiral Edward Boscawen, departs from Plymouth toward North America in an effort to conquer the French Canadian territories of New France. Many of the sailors die of nutritional deficiencies along the way, including the scurvy that kills 26 of the crew of HMS Pembroke, captained by future world explorer James Cook on his first long voyage. 
February 23 – Jonathan Edwards, the famed English theologian who had assumed the presidency of what is now Princeton University only a week earlier, sets an example for students and faculty by publicly receiving an inoculation against smallpox.  Unfortunately, the vaccine contains live smallpox; Edwards develops the disease and dies on March 22 at the age of 54.
Marquis Gabriel de Lernay, a French officer captured during the Seven Years' War, establishes a military lodge in Berlin, with the help of Baron de Printzen, master of The Three Globes Lodge at Berlin, and Philipp Samuel Rosa, a disgraced former pastor.
in 1761 by Dr. Richard Lambert in the paper "A new technique of treating an aneurysm", published in the journal Medical Observations and Inquiries.  The new procedure of reconstructing a damaged artery replaces the practice of ligation that had risked the amputation of a limb or to organ failure. 
June 26 – After the fleet finishes navigation of the St. Lawrence and arriving Île d'Orléans, British troops go ashore at France's North American territory and begin the siege of Quebec City
Madame du Coudray publishes Abrégé de l'art des accouchements (The Art of Obstetrics), and the French government authorizes her to carry her instruction "throughout the realm" and promises financial support.Molly Aster
Related to King Aster. Friends with Magill
^"Fires", in The New International Encyclopedia (Volume 8) (Dodd, Mead and Company, 1915 p604
^Henri Martin, The Decline of the French Monarchy (Walker, Fuller and Company, 1866) p395
^Weinreb, Ben; Hibbert, Christopher (1995). The London Encyclopaedia. Macmillan. p. 976. ISBN0-333-57688-8.
^Clear, Todd R.; Cole, George F.; Resig, Michael D. (2006). American Corrections (7th ed.). Thompson.
^ abWilliams, Hywel (2005). Cassell's Chronology of World History. London: Weidenfeld & Nicolson. pp. 314–315. ISBN0-304-35730-8.
^Dagnall, H. (1991). Give us back our eleven days. Edgware: author. p. 19. ISBN0-9515497-2-3.
^Semple, Clare (2006). A Silver Legend: the story of the Maria Theresa Thaler. Manchester: Barzan Publishing. ISBN0-9549701-0-1.
^Williams, Hywel (2005). Cassell's Chronology of World History. London: Weidenfeld & Nicolson. pp. 315–316. ISBN0-304-35730-8.
^"Danish Business Delegation to Turkey"(PDF). Royal Danish Ministry of Foreign Affairs. Archived from the original(PDF) on 2011-06-01. Retrieved 11 December 2010. Trade between our two countries can be dated centuries back. In 1756 Denmark and The Ottoman Empire signed a treaty on commerce and friendship, which paved the way for closer ties both human and commercial between our two people...
^Энциклопедия Города России. Moscow: Большая Российская Энциклопедия. 2003. p. 114. ISBN5-7107-7399-9.
^Herbert J. Redman, Frederick the Great and the Seven Years’ War, 1756–1763 (McFarland, 2015) p33
^Clare Haru Crowston, Credit, Fashion, Sex: Economies of Regard in Old Regime France (Duke University Press, 2013) p10
^Martin Philippson, and John Henry Wright, translator The Age of Frederick the Great, Volume 15 (Lea Brothers & Company, 1905) p48
^ abc William R. Nester, The French and Indian War and the Conquest of New France (University of Oklahoma Press, 2014) p219-221
^Noémie Étienne, The Restoration of Paintings in Paris, 1750-1815 (Getty Publications, 2017) p120
^ ab Richard Stevenson, Bengal Tiger and British Lion: An Account of the Bengal Famine of 1943 (Lionheart LLC, 2005) pp53-54
^Theodore Emanuel Schmauk, The Lutheran Church in Pennsylvania (Pennsylvania-German Society, 1900) pp18-19
^ abBruno Aguilera-Barchet, A History of Western Public Law: Between Nation and State (Springer, 2014) p276
^Chaim M. Rosenberg, Losing America, Conquering India: Lord Cornwallis and the Remaking of the British Empire (McFarland, 2017) p59
^Gordon Carruth, ed., The Encyclopedia of American Facts and Dates 3rd Edition (Thomas Y. Crowell, 1962) p72
^Newman, Frank G. (January 1965). "The Acquisition of a Life Insurance Company". The Business Lawyer. American Bar Association. 20 (2): 411–416. Retrieved 2016-04-04. The first life insurance company in America was organized in 1759 under the corporate title 'The Corporation for Relief of Poor and Distressed Presbyterian Ministers, and of the Poor and Distressed Widows and Children of Presbyterian Ministers'.
^ abS. B. Bhattacherje, Encyclopaedia of Indian Events & Dates (Sterling Publishers, 2009) p94
^George M. Wrong, The Conquest of New France: A Chronicle of the Colonial Wars (Yale University Press, 1921) p214
^ abc"Quebec, Capture of", in Encyclopedia of Naval History, ed. by Anthony Bruce and William Cogar (Routledge, 2014) p297
^Richard Middleton and Anne Lombard, Colonial America: A History to 1763 (John Wiley & Sons, 2011)
^"History of Microsurery", by Yoshikazu Ikuta, in Telemicrosurgery: Robot Assisted Microsurgery (Springer, 2012) p5
^Steven G. Friedman, MD, A History of Vascular Surgery (John Wiley & Sons, 2008) p ix