* 1721 – Grinling Gibbons, English sculptor and woodcarver ( b. 1648 )

* 1667 – Louise of Mecklenburg-Güstrow ( d. 1721 )

Alexander Selkirk ( 1676 – 13 December 1721 ) was a Scottish sailor who spent four years as a castaway after being marooned on an uninhabited island.

* 1721 – Michel Chamillart, French statesman ( b. 1652 )

* 1665 – Jacques Lelong, French bibliographer ( d. 1721 )

* 1721 – Roger Sherman, American statesman and signer of the U. S. Declaration of Independence ( d. 1793 )

* 1721 – Granville Leveson-Gower, 1st Marquess of Stafford, English politician ( d. 1803 )

* 1648 – John Sheffield, 1st Duke of Buckingham and Normanby, English statesman and poet ( d. 1721 )

* Pierre Coustant ( 1654 – 1721 )

* Catherine of Siena ( 1707 – 1721 ) Opere, ed.

* 1721 – Richard Lumley, 1st Earl of Scarbrough, English statesman ( b. 1640 )

* 1721 – Guillaume-Chrétien de Lamoignon de Malesherbes, French statesman ( d. 1794 )

* 1721 – François Hemsterhuis, Dutch philosopher ( d. 1790 )

* 1721 – Peter Pelham, English-born American musician and composer ( d. 1805 )

* 1721 – Alexander Selkirk, Scottish sailor and castaway ( b. 1676 )

Elihu Yale ( April 5, 1649 – July 8, 1721 ) was an American merchant and philanthropist, governor of the East India Company settlement at Madras and a benefactor of the Collegiate School of Connecticut, which in 1718 was named Yale College in his honor.

* 1721 – John McKinly, American physician ( d. 1796 )

* 1721 – Christian Friedrich Heinecken, German child prodigy ( d. 1725 )

* 1721 – John Reid, British army general and composer ( d. 1807 )

Rabbi Yedidiah Tiah Weil ( 1721 – 1805 ), a Prague resident, who described the creation of golems, including those created by Rabbi Avigdor Kara of Prague, did not mention the Maharal, and Rabbi Meir Perels ' biography of the Maharal published in 1718 does not mention a golem.

* 1721 March – Philip V of Spain requested the restitution of Gibraltar to proceed to the renewal of the trade licences of Great Britain with the Spanish possessions in America.

* 1721 1 June – George I sent a letter to Philip V promising " to make use of the first favourable Opportunity to regulate this Article ( the Demand touching the Restitution of Gibraltar ), with the Consent of my Parliament ".

Their purpose was defense from attacks from water and their construction was urged by the Great Northern War of 1700 – 1721.

* 1790 – François Hemsterhuis, Dutch philosopher ( b. 1721 )

* 1721 – James Craggs the Elder, English politician ( b. 1657 )

* October 8 – James Elphinston, Scottish philologist ( b. 1721 )

* June 10 – James Craggs the Elder, English politician ( d. 1721 )

* April 2 – Sir James Montgomery, 1st Baronet, Scottish politician and judge ( b. 1721 )

* April 9 – James Craggs the Younger, English politician ( d. 1721 )

* James Murray ( British Army officer ) ( 1721 / 22 – 1794 ), Scottish military officer and governor of Quebec

Colonel Joseph Frederick Wallet DesBarres ( 22 November 1721 – 27 October 1824 ( or 24 October 1824 ) was a Swiss-born cartographer and Canadian statesman, who served as aide-de-camp to General James Wolfe in Lower Canada.

Young James also learned much from Antonio Verrio ( 1639 ?– 1707 ) and Louis Laguerre ( 1663 – 1721 ), prominent foreign decorative painters then working in England.

Brockes ' poetic works were published in a series of nine volumes under the fantastic title Irdisches Vergnügen in Gott ( 1721 – 1748 ); he also translated Giambattista Marini's La Strage degli innocenti ( 1715 ), Alexander Pope's Essay on Man ( 1740 ) and James Thomson's Seasons ( 1745 ).

* James Stanhope, 1st Earl Stanhope: 16 March 1718 – 4 February 1721

* James Craggs the Younger MP: 16 March 1718-16 February 1721

James Stanhope, 1st Earl Stanhope PC ( c. 1673 – 5 February 1721 ) was a British statesman and soldier who effectively served as Chief Minister between 1717 and 1721.

In 1721, on the discovery of the plot for the capture of the royal family and the proclamation of King James, Atterbury was arrested with the other chief malcontents, and in 1722 committed to the Tower of London, where he remained in close confinement during some months.

* James Stanhope, 1st Earl Stanhope ( c. 1673 – 1721 ), British statesman and soldier

James Craggs the Younger PC ( 9 April 1686 – 16 February 1721 ), was a British politician.

10 June 1657 – 16 March 1721 ) was an English politician and the father of James Craggs the Younger.

* James Grainger ( 1721 – 1766 ), poet and doctor.

* English naval surgeon James Yonge ( 1646 – 1721 ) publishes Wounds of the Brain Proved Curable, probably the first monograph in English on surgery of the head.

In 1721, Nairne was created " Viscount of Stanley " and " Earl of Nairne " in the Jacobite Peerage by James Francis Edward Stuart, the " Old Pretender ".

Lockhart was born on 11 November 1721 at Lockhart Hall, Lanarkshire, the fifth son of Sir James Lockhart, 2nd Baronet.

James Murray ( 21 January 1721, Ballencrieff, East Lothian, Scotland – 18 June 1794, Battle, East Sussex ) FRS was a British soldier, whose lengthy career included service as colonial administrator and governor of the Province of Quebec and later as Governor of Minorca from 1778 to 1782.

Over the centuries, many notable architects have worked on it, including its first owner, Thomas Chicheley ( between 1640 and 1670 ), James Gibbs ( between 1713 and 1730 ), James Thornhill ( 1721 ), Henry Flitcroft ( around 1749 ), John Soane ( 1790s ), and H. E. Kendall ( 1840s ).