Successfully complete one of the following tasks to get a trophy:

A Chilled Breeze (Silver): Complete the Ice Age Levels.
A Nutty Rival (Bronze): Complete Nuts About Scrat.
A Sicky Situation (Bronze): Complete Grave Danger.
Ace Shooter (Bronze): Complete Flight of the Pterodactyl.
Always Follow the Rules! (Bronze): Complete Expect the Unexpected!
Amber Crystal Collector (Silver): Collect all 16 Crystals in set 3.
Baby Proofer (Bronze): Complete Baby Proofing.
Blue Crystal Collector (Silver): Collect all 16 Crystals in set 5.
Cyan Crystal Collector (Silver): Collect all 16 Crystals in set 1.
Dedicated Collector (Gold): Collect all 5 sets of 16 Crystals.
Diego's Challenge (Silver): Complete Diego's Challenge in Under 45 seconds.
Dino Fighter Pilot (Silver): Score 700 or more in Flight of the Pterodactyl Challenge.
Egbert, Shelly and Yoko (Bronze): Complete Egg Roll.
Egg Hunt (Bronze): Complete Lonesome Sloth.
Escape! (Bronze): Complete Run Sid Run!
Escaping From the Unknown (Silver): Complete the Levels Below the Ice.
Final Showdown (Bronze): Complete Skeleton Bridge.
Going Home (Gold): Complete the Game.
Helping Scrat (Bronze): Complete Scrat's Jungle Jive.
In Love (Bronze): Complete Scrat's Tar Pit Trouble.
Keen Gardener (Bronze): Complete Flower Power.
Meeting Buck (Bronze): Complete Buck to the Rescue.
Momma's Challenge (Silver): Score 350 or more in Run Sid Run Challenge.
Platinum Trophy (Platinum): Earn all the Gold, Silver and Bronze Trophies Within Ice Age 3.
Protect the Babies (Bronze): Complete Noisy Nightlife.
Pterodactyl Assault (Silver): Complete Saving Sid Challenge in Under 2 minutes 50 seconds.
Pterosaur Troubles (Bronze): Complete Saving Sid.
Purple Crystal Collector (Silver): Collect all 16 Crystals in set 2.
Pursuit (Bronze): Complete The Pursuit.
Quiet Time (Silver): Score 700 or more in The Noisy Nightlife Challenge.
Red Crystal Collector (Silver): Collect all 16 Crystals in set 4.
Rescue Egbert (Silver): Complete Egg Roll Challenge 1 in Under 1 minute, 40 seconds.
Rescue Operation (Bronze): Complete Root of all Evil.
Rescue Shelly (Silver): Complete Egg Roll Challenge 2 in Under 1 minute 15 seconds.
Rescue Sid (Bronze): Complete Rudy's Revenge.
Rescue Yoko (Silver): Complete Egg Roll Challenge 3 in Under 1 minute 45 seconds.
Rudy's Challenge (Silver): Score 450 or more in Rudy's Revenge Challenge.
Scrat's Time Challenge 1 (Silver): Complete Nuts about Scrat Challenge in Under 1 minute.
Scrat's Time Challenge 2 (Silver): Complete Scrat's Jungle Jive Challenge in Under 2 minutes 15 seconds.
Scrat's Time Challenge 3 (Silver): Complete Scrat's Tar Pit Trouble Challenge in Under 2 minutes.
The Development Team (Bronze): View the Credits.
The Early Bird (Bronze): Complete Sid's Early Start.