Built to Kill (Part 1) - S7-E1
Continuity mistake: Series 7 - Part 1: When Sara and Warrick are at the table discussing the case, Sara's box containing her veggie sandwich changes position depending on whether the camera is looking at her or Warrick. (It moves from directly in front of Sara, and then several inches to her right toward the edge of the table).
Built to Kill (Part 1) - S7-E1
Continuity mistake: When Doc Robinson is checking the mouth of the suicide victim, when he opens the mouth you see a chipped tooth on the bottom middle, when they show the zoom in to see the sesame seeds there is no chip.
Built to Kill (Part 1) - S7-E1
Revealing mistake: During Katherine's visit with Dr. Robbins, they are overlooking Suicide Guys' body, discussing his autopsy. Just as the doc's hand touches the corpse's mouth, the corpse's lower lip twitches slightly.
Built to Kill (Part 1) - S7-E1
Revealing mistake: When Sarah visits Dr. Robbins to get an update on Suicide Guy, who is being autopsied, the camera moves to the right and you can see Suicide Guy breathe twice, even though he's supposed to be dead.
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