[2] At about this time, his friend George Bruns asked him to compose music for the Disney television show Davy Crockett and the River Pirates.
His work is heard in many Disney cartoons and featurettes, including Donald in Mathmagic Land, which was nominated for a 1959 Academy Award (Best Documentary - Short Subjects).
In 1978, he composed the music for the first Walt Disney Home Video logo, known as the "Neon Mickey" logo—a loud string and brass fanfare with a piano and timpani beats.
The eerie music heard throughout The Haunted Mansion at Disneyland was another of Baker's works, as was the infectious theme to Walt Disney World's If You Had Wings.
He arranged the medley of French classical music that accompanies the film Impressions de France at EPCOT Center, which artfully integrates works by Camille Saint-Saëns, Claude Debussy and Erik Satie, among others.