- Jan 5 Grant Young, American drummer (Soul Asylum, 1984-95), born in Iowa City, Iowa
- Jan 5 Ted Harris Poley, American rocker (Danger Danger - "Screw It"), born in Englewood, New Jersey
- Jan 6 Mark O'Toole, English musician (Frankie Goes to Hollywood - "Relax"), born in Liverpool, England
- Jan 6 Yuri, Mexican actress and singer, born in Veracruz, Mexico
- Jan 10 Brad Roberts, Canadian rock singer (Crash Test Dummies - "Mmm Mmm Mmm Mmm"), born in Winnipeg, Manitoba
- Jan 15 Osmo Tapio Räihälä, Finnish composer, born in Suomussalmi, Finland
- Jan 17 Andy Rourke British rock bassist (The Smiths - "This Charming Man"; "Ask"), born in Manchester, England (d. 2023)
- Jan 19 Ricardo Arjona, Guatemalan singer, born in Jocotenango, Guatemala
- Jan 26 Susannah Melvoin, American songwriter and vocalist (The Revolution), born in Los Angeles, California
- Jan 26 Wendy Melvoin, American Emmy Award-winning songwriter and guitarist (Wendy & Lisa - "Nurse Jackie Theme"; The Revolution, 1980-86), born in Los Angeles, California
- Jan 27 Migi Drummond, English pop drummer (Curiosity Killed the Cat - "Down to Earth"), born in Strawberry Hill, Middlesex, England
- Jan 29 Roddy Frame, Scottish singer-songwriter (Aztec Camera-Stray), born in East Kilbride, Scotland
- Jan 31 Jeff Hanneman, American rock guitarist (Slayer), born in Oakland, California (d. 2013)
- Jan 31 Remi Bouchard, Canadian composer (1989 India Open), born in Manitoba, Canada
About January 1964
How Old? 60 years old
Generation: Baby Boomer
Leap Year: Yes