- Jan 2 Orrett Rhoden, Jamaican concert pianist, born in Kingston, Jamaica
- Jan 3 Erwin Blom, Dutch rock singer and guitarist (Eton Crop), born in Worner, Netherlands
- Jan 5 Iris DeMent, American country singer ("Our Town"), born in Paragould, Arizona
- Jan 5 Piotr Baron, Polish jazz saxophonist and composer (Salve Regina; Sanctus, Sanctus, Sanctus), born in Wrocław, Poland
- Jan 10 Nadja Salerno-Sonnenberg, Italian concert violinist, born in Rome, Italy
- Jan 13 Suggs [Graham McPherson], English singer-songwriter (Madness), born in Hastings, England
- Jan 13 Wayne Coyne, American singer-songwriter, guitarist, keyboardist, and theremin player (The Flaming Lips - "Do You Realize??"), born in Pittsburgh, Pennsylvania
- Jan 13 Wayne Marshall, British classical organist, pianist, and conductor, born in Oldham, England
- Jan 14 Mike Tramp [Trempenau], Danish heavy metal rocker (White Lion - "Mane Attraction"), born in Copenhagen Denmark
- Jan 16 Jill Sobule, American singer-songwriter ("I Kissed a Girl"), born in Denver, Colorado
- Jan 16 Paul Raven, English rock bassist (Killing Joke), born in Wolverhampton, England (d. 2007)
- Jan 22 Daniel Johnston, American musician and visual artist (Hi, How Are You), born in Sacramento, California (d. 2019)
- Jan 26 Neil Taylor, British touring and session guitarist (Tears For Fears - "Everybody Wants To Rule The World"; Robbie Williams), born in Bristol, England
- Jan 27 Gillian Gilbert, British rock keyboard and guitar player (New Order - "Round & Round"), born in Manchester, England
- Jan 27 Margo Timmins, Canadian folk-rock singer (Cowboy Junkies - "Sweet Jane"; "Anniversary Song"), born in Montreal, Quebec
- Jan 27 Martin Degville, British rock singer-songwriter (Sigue Sigue Sputnik - "Love Missile F-111"), born in Walsall, England
- Jan 27 Tessa Niles, British session and touring singer (Eric Clapton; Duran Duran; Robbie Williams), born in Ilford, Essex, England
- Jan 29 Eddie Jackson, American heavy metal rock bassist (Queensrÿche - "Silent Lucidity"), born in Robstown, Texas
- Jan 31 Lloyd Cole, English rocker (Lloyd Cole and the Commotions), born in Buxton, Derbyshire
About January 1961
How Old? 63 years old
Generation: Baby Boomer
Leap Year: No