In the 60s he formed the Balladeers, a besuited and conservative folk group that at one time featured a slim and youthful David Crosby. He operated in radio as musical director of Halls Of Ivy and the Bob Hope and Abbott and Costello shows; he also worked on movie soundtracks and later composed and conducted scores for Roger Corman's Edgar Allan Poe films and other horror stories and teenage musicals, including Comedy Of Terrors, Muscle Beach Party, The Dunwich Horror and Frogs. When soundtrack work reduced in the 80s he scored music for theme parks and seaworlds. In the 90s Baxter was widely celebrated, alongside Martin Denny (for whom he had written "Quiet Village") and Arthur Lyman Group, as one of the progenitors of what had become known as the "exotica" movement. In his 1996 appreciation for Wired Magazine, writer David Toop remembered Baxter thus: "Baxter offered package tours in sound, selling tickets to sedentary tourists who wanted to stroll around some taboo emotions before lunch, view a pagan ceremony, go wild in the sun or conjure a demon, all without leaving home hi-fi comforts in the white suburbs."