- Sep 1 Matt Higgins Doran, American composer, born in Covington, Kentucky
- Sep 3 Thurston Dart, English harpsichordist and conductor, born in Surbiton, London (d. 1971)
- Sep 7 Arthur Ferrante, American pianist and composer (Ferrante & Teicher - Exodus), born in NYC, New York (d. 2009)
- Sep 8 Hans Ulrich Engelmann, German composer (Ophelia), born in Darmstadt, Germany (d. 2011)
- Sep 8 Harry Secombe, Welsh actor, comedian, singer and goon (The Goon Show, Oliver!), born in Swansea, Wales (d. 2001)
- Sep 9 Andrzej Dobrowolski, Polish classical and experimental composer, born in Lwów, Poland (now Ukraine) (d. 1990)
- Sep 15 Jan Frank Fischer, composer
- Sep 16 Fritz Geissler, German composer, born in Wurzen, Saxony (d. 1984)
- Sep 16 John Hendricks, American lyricist and singer (Lambert, Hendricks & Ross), born in Newark, Ohio (d. 2017)
- Sep 19 Billy Ward, American singer and songwriter (Billy Ward and his Dominoes), born in Savannah, Georgia (d. 2002)
- Sep 24 Leonard Salzedo, British composer, born in London, England (d. 2000)
- Sep 28 Ilhan Usmanbas, composer
About September 1921
How Old? 99 years old
Generation: Greatest Generation
Leap Year: No