Revealing mistake: When Grissom and the Coroner are discussing the short cadaver's injuries you can see the little guy breathe between takes.
Continuity mistake: When Sara has finished processing Melanie Grace at the slot machine, Melanie gets down from her chair and a uniformed officer can be seen helping her down. However in the next shot the officer has disappeared completely.
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