At about this time, his friend George Bruns asked him to compose music for the Disney television show Davy Crockett and the River Pirates. He stayed on at the Disney studio, and eventually became its music director, as well as chief composer for Disneyland and other Disney theme parks.
Baker was nominated for an Academy Award for his score for the 1972 film Napoleon and Samantha. 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.
In 1998, Baker was inducted as a Disney Legend. Baker also received the honor of having his name appear on Main Street, U.S.A.windows at the Magic Kingdom. The window, which can be found above the Car Barn reads: Plaza School of Music - Sheet Music—-Baker.
Later years and death
Baker retired from Disney as the last staff composer still on contract at any studio. Although he occasionally returned to work on theme park, film and television projects, he spent most of his later years teaching film scoring at the USC Thornton School of Music in Los Angeles, where he remained until his death from natural causes at age 84 in 2002. He was interred at Forest Lawn – Hollywood Hills Cemetery. In 2004, his wife Charlotte donated his papers to the Fales Library at New York University.