- Jan 2 James Melton, American pop (1920-30's) and operatic tenor (Metropolitan Opera, 1942-50), born in Moultrie, Georgia (d. 1961)
- Jan 3 Boris Kochno, Russian ballet dancer (La Chatte)
- Jan 4 Erik Chisholm, Scottish conductor, composer (Hindustani Piano Concerto), and educator (South African College of Music, 1949-65), born in Glasgow, Scotland (d. 1965)
- Jan 5 Erica Morini, Austrian concert violinist, born in Vienna, Austria (d. 1995)
- Jan 10 Jesus Garcia Leoz, Spanish composer, born in Olite, Spain (d. 1953)
- Jan 10 Ray Bolger, American dancer, actor, and singer (Wizard of Oz - "Scarecrow"; Partridge Family - "Grandpa Renfrew"), born in Dorchester, Massachusetts (d. 1987)
- Jan 12 "Mississippi" Fred McDowell, American blues singer and guitarist, born in Rossville, Tennessee (d. 1972)
- Jan 13 Richard Addinsell, composer (Taming of Shrew), born in London, England
- Jan 16 Max Vredenburg, Dutch composer and music critic, born in Brussels, Netherlands (d. 1976)
- Jan 18 Anthony Galla-Rini, American concert accordionist,and arranger, born in Manchester, Connecticut (d. 2006)
- Jan 21 Robert "Juice" Wilson, American jazz violinist, born in Chicago, Illinois (d. 1972)
George Balanchine
Jan 22 George Balanchine, Russian-American ballet composer and choreographer who founded the New York City Ballet, born in St. Petersburgh, Russian Empire (d. 1983) [OS=Jan 9]

George Balanchine
- Jan 23 Theodor Schaefer, Czech composer & pedagogue, born in Telč, Czech Republic (d. 1969)
About January 1904
How Old? 117 years old
Generation: Greatest Generation
Leap Year: Yes