1760 in music
- November 26 – Joseph Haydn marries Maria Anna Keller, but he and his wife will live apart for most of their lives.
- John Newton leaves his job for the church, and begins composing hymns.
- Memoirs of the Life of the Late George Frideric Handel, by John Mainwaring, is published anonymously.
- John Alcock is forced to resign as organist and choirmaster of Lichfield Cathedral.
- William Boyce's Eight Symphonies are published by John Walsh (Handel's publisher), having been composed over the previous 21 years as either odes to vocal or stage works or as overtures.
- Johann Christian Bach becomes organist of Milan Cathedral.
- John Garth publishes his Op. 1 cello concertos (written over the previous decade), the first time such compositions have been published in Britain.
- Johann Baptist Wanhal is brought to Vienna to receive lessons from Carl Ditters von Dittersdorf.
- Thomas Arne – Thomas and Sally
- Johann Christian Bach – Artaserse
- Johann Adolph Hasse – Alcide al Bivio
- Vincenzo Manfredini – Semiramide
- Niccolò Piccinni – La buona figliuola
- Jean-Philippe Rameau – Les Paladins
- Johann Albrechtsberger – String Quartet in D
- William Boyce – Eight Symphonies (published; composed over the previous 21 years)
- François Joseph Gossec – Grande Messe des Morts
- Michael Haydn – Concerto for Violin in B-flat major
- January 10 – Johan Rudolf Zumsteeg, German composer (died 1802)
- January 19 – Melchor Lopez Jimenez, Spanish composer (died 1822)
- January 30 – Franz Xaver Partsch, Bohemian composer (died 1822)
- February 12 – Jan Ladislav Dussek, composer (died 1812)
- February 15 – Jean-François Le Sueur, French composer (died 1837)
- March 2 – Charlotta Cederström, born Christina Charlotta Mörner af Morlanda, Swedish patron of the arts (died 1832)
- March 27 – Ishmail Spicer, American composer (died 1832)
- April 12 – Juan Manuel Olivares, Venezuelan composer (died 1797)
- May 10 – Claude Joseph Rouget de Lisle, French composer of La Marseillaise (died 1836)
- May 29 – Charlotte Slottsberg, Swedish ballerina (died 1800)
- June 14 – Cándido José Ruano, Spanish composer (died 1803)
- September 21 – Gaetano Valeri, Paduan organist and composer (died 1822)
- September 14 – Luigi Cherubini, Italian-born composer (died 1842)
- October 1 – William Beckford, English novelist, patron of the arts and composer (died 1844)
- November 9 – Henri-Philippe Gérard, Liègeois composer
- November 30 – Catharine Frydendahl, opera singer (d. 1831)
- December 2 – Joseph Graetz, German composer (died 1826)
- January 18 – Claudio Casciolini, Italian composer (born 1697)
- February 14 – François Colin de Blamont, French composer (born 1690)
- February 22 – Anna Magdalena Bach, German singer, second wife and assistant of Johann Sebastian Bach (born 1701)
- March 14 – Anton Fils, German composer (born 1733)
- April 12 – Ernst Gottlieb Baron, German lutenist and composer (born 1696)
- May – Girolamo Abos, Italian composer (born 1715)
- May 10 – Christoph Graupner, German composer (born 1683)
- August 8 – Henry Needler, English music transcriber (born 1685)
- November 5 – Pierre Février, French organist, harpsichordist and composer (born 1696)
- Haydn Festspiele.
- Fleming, Simon D. I. (September 2013). "John Garth: The Life of a Durham Musician". Durham County Local History Society Journal. 78: 5–18.