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