Here is the full list of all 46 Happy Feet Two: The Video Game trophies - there are 32 bronze, 10 silver, 3 gold and 1 platinum.
Every trophy has been collected
Complete an entire game in Co-Op
Complete a Race without hitting anything
Hit every Stunt Hoop in a Race
Level up all songs
Collect the most notes in a Bonus Level in co-op
Beat a Boss without making a mistake in co-op
Complete Level 28 without getting hurt
Defeat every Boss without making a mistake
Jump off three stunt ramps in a Race
Complete the game
Bring 200 friends to the Doomberg
Win every Race
Complete the last level of a Land with full health
Complete Elephant Seal Land
Smash five Stone Columns
Unlock all songs
Activate 20 moving platforms
Complete three stunt hoops in a single Race
Complete Adelie Land
Scare 20 Skua Birds
Cross 50 Ice Rails
Stay on the beat for 20 beats
Perfectly perform a Dance Combo and a Stomp Combo in quick succession
Convert three Penguins at the same time
Complete Emperor Land
Collect 2000 Black Music Notes
Smash three Ice Boulders at the same time
Wake up five Sleepy Penguins
Win your first Race
Fill the boost bar in a Race
Beat a Boss without making a mistake
Move five Ice Slide Blocks
Revisit a previously played level
Complete five levels with every penguin in the room
Collect 200 Black Music Notes in one level
Destroy 10 objects during Disco Fish mode
Collect a Disco Fish
Clap 108 times
Complete a level with full health
Complete a level
Activate all the Vibes in one Level
Collect 100 Black Music Notes
Assemble a group of five penguins
Assemble a group of three penguins
Switch control between characters