His bass playing credits include work with artists such as Dagmar Krause, David Sanborn, Susana Baca, Gal Costa, Marisa Monte, Laurie Anderson, Willie Nelson, Bill Frisell, Norah Jones, Dave Douglas, Tricky, Jesse Harris, Keith Richards and Charlie Watts, Joey Baron, Donovan, Crystal Gayle, Bob Dylan, Alan Watts, Lee Konitz, Richie Havens, Dino Saluzzi, Lou Reed, Odetta and Danny Barker.
In August/September 2006 he was musical director of the Century of Song series at the German arts festival RuhrTriennale. He invited songwriters and performers such as David Byrne, Holly Cole and Laurie Anderson.
Greg Cohen is a regular member of Woody Allen and his New Orleans Jazz Band, which plays every Monday evening at Manhattan's Carlyle Hotel. He appears in the documentary film Wild Man Blues (directed by Barbara Kopple), which documents a 1996 European tour by Allen and his band. Cohen appears on the group's CD The Bunk Project (1993) and the soundtrack of Wild Man Blues (1997).
Cohen is a resident of Manhattan, New York.
With Dave Douglas
appears on Tom Waits albums