That same year, he was offered the role of the troubled priest, Father Damien Karras, in William Friedkin's horror film The Exorcist (1973), for which he was nominated for an Academy Award for Best Supporting Actor.
Featured in the cast were Robert Mitchum (replacing William Holden, who died before filming began), Paul Sorvino, Martin Sheen, Stacy Keach, and Bruce Dern.
He acted occasionally in feature films, including The Devil's Advocate (1977), The Dain Curse (1978), The Ninth Configuration (1980), Toy Soldiers (1984), The Exorcist III (1990) and Rudy (1993), playing Notre Dame football coach Ara Parseghian.
In October 2000, he performed Barrymore's Ghost in a successful and critically acclaimed production directed by Michael Leland at Theatre Double main stage in Philadelphia.
Miller's last project was a 2001 revival of The Odd Couple for the Pennsylvania Summer Theatre Festival, in which he was to appear in the role of Oscar Madison, but he died of a heart attack before the production opened.
The cast comprised Brian Cox, Kiefer Sutherland, Jim Gaffigan, and Miller's elder son, actor Jason Patric.