Bramley made his film debut in the Academy Award-winning 1961 musical West Side Story, co-directed by Robert Wise and co-starring Richard Beymer. Bramley played the role of another policeman, Officer Krupke. Bramley was also one of many Star Trek alumni to appear in the 1968 film Madigan. Michael Dunn, Steve Ihnat, Warren Stevens, Dallas Mitchell, Lloyd Haynes, Paul Sorenson, and John McLiam also had roles in the film.