I'd say 'Zodiac' is quite well - known. It takes a real - life mystery and adds fictional elements to it, especially in terms of the FBI's attempts to solve the case. Another one is 'The Bone Collector'. The unique aspect of having a paralyzed expert guiding the investigation makes it stand out. It shows how the FBI uses different skills and resources, even in an unconventional situation, to track down a serial killer.
Definitely 'The Silence of the Lambs'. It's a classic in the genre. The relationship between Clarice Starling and Hannibal Lecter is both fascinating and chilling. Then there's 'Red Dragon' which sets up a lot of the backstory for Lecter and shows how the FBI tries to understand and catch serial killers through psychological profiling.