Simon spent several years (starting in 1955) as associate editor of Billboard Magazine and wrote a monthly column on jazz for The Saturday Review.

He also conceived and was the editor of 17 Reader's Digest song books, including Treasury of Great Show Tunes and The Children's Songbook, which have sold in the millions and are still in print.

They began the New York tradition of Twilight Jazz, playing at Eddie Condon's club during its final four years and then at Red Blazer Too and Jimmy Walker's.

Remembering Time, a CD of Simon on saxophone as well as his musical compositions performed by others was produced posthumously by Gunnar Jacobsen and Jack Brokensha.

His musical compositions were performed by Carmen McRae, Teddi King, Tony Scott, Art Farmer, John Coltrane, B. Bopstein (pseudonym for Dizzy Gillespie), Don Byas, Oscar Pettiford, Jimmy Jones, Gene Ramey, Trummy Young and Ben Webster among others.

Carmen McRae singing "Along About This Time Last Year" Bill Simon playing "Moon Over Yesterday" on Piano Demo recording of "At Home With the Blues"