"The Christmas Waltz" by Jule Styne

"The Christmas Waltz" is a Christmas song written by Sammy Cahn and Jule Styne for Frank Sinatra, who recorded it in 1954 as the B-side of a new recording of "White Christmas",[1] in 1957 for his album A Jolly Christmas from Frank Sinatra,[2] and in 1968 for The Sinatra Family Wish You a Merry Christmas.[3]

Cahn recalls, "One day during a very hot spell in Los Angeles the phone rang and it was Jule Styne to say, 'Frank wants a Christmas song.'"[4] Cahn resisted. "Jule, we're not going to write any Christmas song. After Irving Berlin's 'White Christmas'? The idea's just ridiculous."[4] Styne was emphatic, however. "'Frank wants a Christmas song.'"[4]

The two met in Styne's apartment to begin work on the project, and Cahn asked the composer, "'Hey, Jule, has there ever been a Christmas waltz?' He said no. I said, 'Play that waltz of yours.' He did so,"[4] and Cahn began work on the lyrics of "The Christmas Waltz", which many other artists have also recorded. [via Wikipedia]

"Let It Snow! Let It Snow! Let It Snow!" by Jule Styne

"Let It Snow! Let It Snow! Let It Snow!", also known as simply "Let It Snow", is a song written by lyricist Sammy Cahn and composer Jule Styne in July 1945. It was written in Hollywood, California during a heat wave as Cahn and Styne imagined cooler conditions.[1][2]

Despite the lyrics making no mention of any holiday, the song has come to be regarded as a Christmas song in North America due to its winter theme, being played on radio stations during the Christmas and holiday season and having often been covered by various artists on Christmas-themed albums. [via Wikipedia]