Aled Jones, the singer of single "Walking in the Air" that was released in 1985, three years after the film, is much more widely known than Peter Auty who sang the same song in the film. Many people mistakenly believe that Aled Jones also sang the song in the film. Jones sang the chart release because the song had been re-recorded for an advertisement for an English toy store's Christmas campaign (which also featured new animation).
When this program first aired on PBS stations in the United States, the introduction featured a newly filmed introduction by David Bowie instead of Raymond Briggs on the grounds that the animation needed a star.
The boy has no name in the original Briggs cartoon book. However, the makers of the film required a name for the gift tag attached to the gift given to him by Santa Claus and selected 'James Brighton' after the boyfriend (later husband) of one of the animators.
The short film had 3 different versions of the intro: the original intro had author Raymond Briggs playing adult James walking through the countryside telling his story of The Snowman. The 2nd intro had David Bowie played adult James whom is seen in the attic in his house, telling the story of The Snowman and finding the scarf The Snowman gave him and in the 3rd intro, Father Christmas (Mel Smith) is seen in his living room and mentions that he was there and hosted the Christmas party The Snowman and James attends and Father Christmas sits in his chair and watches The Snowman (1982) on TV.
The short film was parodied in the long-running BBC sketch comedy show Alas Smith and Jones (1984) (TV Series) which in a sketch, The Snowman and James are shot by a bird hunter (Griff Rhys Jones). Mel Smith provided the voice of Father Christmas in the 1991 adaptation of Raymond Brigg's book Father Christmas (1991).