This was internationally famous Jackie Chan's breakthrough action film, the work that got him past the ethnic boundaries of Hong Kong and into competition at the New York Film Festival in 1986. It also got him into the hospital after performing a stunt in which he fell through a glass canopy -- and stopped breathing.
The story itself is not particularly profound. Kevin (Ga-kui) (Chan) is an honest, self-effacing cop who manages to capture drug lord Cho (Cho Leung) almost single-handedly. A reluctant Kevin is then assigned the job of protecting Cho's secretary Selena (Brigitte Lin) who is going to testify against him.
Sure enough, the trial date comes, and Selena disappears, while Cho has to be set free for lack of evidence. The next thing he knows, Kevin is framed by Cho for the murder of a fellow (dirty) cop and is running like heck from the bad guys as well as the police. Some incredible stunts in this film include Chan being dragged behind a double-decker bus.
One of Jackie Chan's trademarks are hilarious outtakes shown during the end credits, and they are among the best here. This feature is repeated to great advantage at the end of his 1998 hit Rush Hour as well.
Police Story picked up Best Picture and Best Action Choreography at the 1986 Hong Kong Film Festival and was nominated for several other awards that year. Sequel after sequel followed.