From Netflix:

Shortly after sleazy detective Mike Hammer (Ralph Meeker) picks up a scantily clad hitchhiker (Cloris Leachman), his car is forced over a cliff. He awakens from unconsciousness to find his passenger dead — but it wasn’t the fall that killed her. As Hammer sets out to uncover the woman’s deadly secret and find her unknown assassins, he ignores explicit signs that he should mind his own business. This film noir was adapted from Mickey Spillane’s novel.

PBS showed this 106 minute black-and-white film from 1955. You can also get it from Netflix. To think that I was only 15 when this film came out – how films have changed. Nonetheless, despite the old style stiff way of acting (at times seemingly mere line reading), the film is fascinating, if only from a historical perspective.

The Wikipedia article has this to say:

Kiss Me Deadly is a 1955 film noir drama produced and directed by Robert Aldrich starring Ralph Meeker. The screenplay was written by A.I. Bezzerides, based on the Mickey Spillane Mike Hammer mystery novel Kiss Me, Deadly. Kiss Me Deadly is often considered a classic of the noir genre. The film grossed $726,000 in the United States and a total of $226,000 overseas. It also withstood scrutiny from the Kefauver Commission which said it was a film designed to ruin young viewers — leading director Aldrich to write against the Commission’s conclusions.

Kiss Me Deadly marked the film debuts of both actresses Cloris Leachman and Maxine Cooper.[2]

As you approach the surprising end of the film you will understand the comment from the same Wikipedia article:

Critical commentary generally views it as a metaphor for the paranoia and nuclear fears of the Cold War era in which it was filmed.

Ralph Meeker, the lead actor, has a huge resume even though I never heard of him before seeing this (to me) unusual film.

Even the orchestral music seems old-fashioned.