Anyone who has lived in a city knows the doppler arc of a police siren passing — the rising wail, the moment it's level with the window, and the long flat fall as it disappears down the street. These 47 police car sound effects keep that arc whole rather than chopping it into loops: full pass-by recordings with the engine note audible underneath the police siren, the European wee-waw two-tone, the American wail-and-yelp combo, and the short whoop chirp that police sirens make at intersections.
Action-film chase scenes need the full doppler take because the audience reads pass-by motion in stereo before the picture cuts. Newsroom and documentary work uses the steady distant police sirens sound under reporter pieces-to-camera because it sells the city without explaining it. The radio chatter dispatches double as foreground material when a scene needs a cruiser at a stop. The whole police siren sound effect set is a free download, no signup, no attribution.