There's a company called New World Records that put out an LP called "The Mighty Wurlitzer". The record consisted of silent movie music, including the original score for "Phantom of the Opera". I don't know if they still offer that recording. They specialized in all aspects of American music. Originally, you couldn't buy their recordings, they only provided them to radio stations and libraries, but you can purchase them at Amazon these days. Most libraries, if they still have LP's, have some New World recordings in their collections.

Charlie Chaplin composed his own music for his movies, and a few years ago some of it was released on a new recording, but I don't have any information about it.