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