Final answer:
In 'A Walk to Remember,' Landon Carter took Jamie Sullivan to an orphanage where they observed a comet through a telescope on New Year's Eve.
Step-by-step explanation:
The question 'Where did Landon took Jamie on New Year's eve?' refers to a scene from Nicholas Sparks' novel 'A Walk to Remember' which has also been adapted into a film. In the story, Landon Carter takes Jamie Sullivan to the local orphanage where they watch a comet through a telescope. This romantic gesture is one of the many poignant moments in their love story, serving as a pivotal moment in their relationship and illustrating Landon's deepening feelings for Jamie.