Here is the full list of all 9 Peter Jackson's King Kong achievements worth 1,000 gamerscore.
Completed the game
Jack used fire to scare off enemies and get out of harm's way
Kong has imposed his supremacy over the inhabitants of the jungle
V-Rexes got a taste of Kong’s power!
Jack has protected his friends from getting harmed
Kong has killed numerous V-Rexes
Jack used the foodchain system in order to escape certain death!
Kong has killed the Giant Snakes
Kong has destroyed the village of the Natives