Continuity mistake: A prostitute is questioned in the interrogation room. Her teeth are stained brown. In one shot, most of her teeth are stained. In the next, one her front teeth is perfectly white and the others are brown.
Continuity mistake: Morgan and Finn are walking and talking about a case. Morgan has a folder in her hand. The folder is visibly closed. She looks down and shows Finn a case file. The shot shows a case file with photo and text on an open folder. Next shot shows the folder closed again.
Continuity mistake: When Sam the police dog picks up a bottle of water with his mouth from a cooler, he picks it up from the top. In the next frame, he gives it to his trainer horizontally.
Continuity mistake: The dead news lady anchor's expression changes between shots from decedent to total shock while Sarah and Russell discuss the case.
Continuity mistake: There is a point where they are discussing Dante's inferno and they have the pictures on the window. This includes Limbo and Lust which show the drawings with the women horizontal. The comment "You said he was giving us a show" is made, after which it shows the window pictures again. This time, the drawing of Limbo and Lust show the women vertically. Much later in the scene, they are back to horizontal. (00:28:30)
Answer: The episode on CSI:NY was called "Love Runs Cold" and first aired on October 4, 2006 (Season 3, Episode 3) and involves the investigation of a model found stabbed to death by an ice dagger.
OneHappyHusky