I don't know why, but the first examples that came to mind were all made-for-tv movies:
- A Killing in a Small Town - incredible performance by Barbara Hershey.
- The Positively True Adventures of the Alleged Texas Cheerleader-Murdering Mom - great performances all round, especially Holly Hunter as the title character.
- Citizen X - the true story about the hunt for a serial killer in Russia. Interesting to see a police procedural which isn't set in the US, for a change.