1395 – Battle of Rovine: The Wallachians defeat an invading Ottoman army.
1521 – Edward Stafford, 3rd Duke of Buckingham, is executed for treason.
1527 – Pánfilo de Narváez departs Spain to explore Florida with 600 men – by 1536 only four survive.
1536 – George Boleyn, 2nd Viscount Rochford and four other men are executed for treason.
1536 – Henry VIII and Anne Boleyn's marriage is annulled.
1590 – Anne of Denmark is crowned Queen of Scotland.
1642 – Paul de Chomedey, Sieur de Maisonneuve founds the Ville Marie de Montréal.
1648 – Emperor Ferdinand III defeats Maximilian I of Bavaria in the Battle of Zusmarshausen.
1673 – Louis Jolliet and Jacques Marquette begin exploring the Mississippi River.
1756 – Seven Years' War formally begins when Great Britain declares war on France
1760 – French forces besieging Quebec retreat after the Royal Navy arrives to relieve the British garrison.
1792 – The New York Stock Exchange is formed under the Buttonwood Agreement.
1805 – Muhammad Ali becomes Wāli of Egypt.
1809 – Emperor Napoleon I orders the annexation of the Papal States to the French Empire.
1814 – Occupation of Monaco changes from French to Austrian.
1814 – The Constitution of Norway is signed and Crown Prince Christian Frederick of Denmark is elected King of Norway by the Norwegian Constituent Assembly.
1859 – Members of the Melbourne Football Club codified the first rules of Australian rules football.
1863 – Rosalía de Castro publishes Cantares Gallegos, the first book in the Galician language.
1865 – The International Telegraph Union (later the International Telecommunication Union) is established in Paris.
1875 – Aristides wins the first Kentucky Derby with the jockey Oliver Lewis (2:37.75).
1900 – The children's novel The Wonderful Wizard of Oz, by L. Frank Baum, is first published in the United States. The first copy is given to the author's sister.
1902 – Greek archaeologist Valerios Stais discovers the Antikythera mechanism, an ancient mechanical analog computer.
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January 5 – Dreyfus affair: French officer Alfred Dreyfus is stripped of his army rank, and sentenced to life imprisonment on Devil's Island. January 12 – The National Trust for Places of Historic Interest or Natural Beauty is founded in England by Octavia Hill, Robert Hunter and Canon Hardwicke Rawnsley. January 13 – First Italo-Ethiopian War: Battle of Coatit – Italian forces defeat the Ethiopians. January 17 – Félix Faure is elected President of the French Republic, after the resignation of Jean Casimir-Perier.
January 1 – New York City annexes land from surrounding counties, creating the City of Greater New York as the world's second largest. The city is geographically divided into five boroughs: Manhattan, Brooklyn, Queens, The Bronx and Staten Island. January 13 – Novelist Émile Zola's open letter to the President of the French Republic on the Dreyfus affair, J'Accuse...!, is published on the front page of the Paris daily newspaper L'Aurore, accusing the government of wrongfully imprisoning Alfred Dreyfus and of antisemitism.
As of March 1 (O.S. February 17), when the Julian calendar acknowledged a leap day and the Gregorian calendar did not, the Julian calendar fell one day further behind, bringing the difference to 13 days until February 28 (O.S. February 15), 2100. The year 1900 also marked the Year of the Rat on the Chinese calendar. January 1900 January 2 – U.S. Secretary of State John Hay announces the Open Door Policy, to promote American trade with China. January 3 – The United States Census estimates the country's population to be about 70 million people.