Shore's first film score was to the low budget thriller "I Miss You, Hugs and Kisses" (1978), followed by David Cronenberg's first major film, "The Brood" (1979). He would go on to score all of Cronenberg's subsequent films, with the exception of "The Dead Zone" (1983), which was scored by Michael Kamen. The first film he scored that was not directed by Cronenberg was Martin Scorsese's "After Hours" (1985). Following that, he scored "The Fly" (1986), again directed by Cronenberg. Two years later, he composed the score to "Big" (1988), directed by Penny Marshall and starring Tom Hanks. He then scored two more of David Cronenberg's films: "Dead Ringers" (1988) and "Naked Lunch" (1991).