Here is the full list of all 36 Ice Age Scrat's Nutty Adventure achievements worth 1,000 gamerscore.
Collect a Tablet Piece
Smash 10 Shard Crates
Get rescued by the Scratazons
Collect your first shard
Complete the Ice Cliffs
Defeat Carl and Frank
Complete the Ice Fields
Defeat Creataceous and Maelstrom
Complete the Ice Caves
Complete the Orrery Puzzle
Complete the Hidden World
Defeat the Pteradon
Complete Ice Age: Scrat's Nutty Adventure
Collect 5000 shards
Unlock an additional heart
Unlock all additional hearts
Complete the Carl and Frank Tablet
Complete the Cretaceous and Maelstrom Tablet
Complete the Orerry Tablet
Complete the Pteradon Tablet
Find a Statue
Find all the Statues
Kill all enemies in a section without dying
Smash 500 Shard crates
Sneak past a sleeping wolf
Get a Guanlong to investigate a sound
Kick a flying insect
Get eaten by a piranha
Hit a flying enemy with a rock
Carry Power Cores a total of 100 metres
Use telekinesis 10 times
Survive getting burned by lava
Complete a level without dying
Slide on Ice
Complete a dig pile
Throw and hit 3 enemies within 10 seconds