Other mistake: Episode 18 Season 5 "Spark of Life": Late in this episode, the CSI crew is sitting around discussing the case. Sarah Sidle summarizes the facts in the case, including making the comment that Tara Matthews was attacked by the truck driver "just before her death"; in actuality, while Tara was severely burned, she remained alive in the hospital throughout the entire episode.
Other mistake: There is no way a body can be pulled out of a grave the way they showed. It would be a pretty tough trick to pull off with a 6', 200lb piece of lumber and virtually impossible with a body. If it was a solid, non-flexible piece of material, pulling on the rope would drag the item until it hit a ledge and then flip it out of the grave. The body is very flexible, especially at the waist. You'd have to pull a body from above, which they end up doing in real life.
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