Here is the full list of all 11 ibb & obb trophies - there are 6 bronze, 4 silver and 1 gold.
Finish all levels with highest possible score.
Play through all regular levels.
Collect all crystals from the secret levels.
Find all levelmen and secretmen.
Finish the game in single player mode.
Collect a secret level crystal.
Finish a level with the highest possible score.
Find ubb and bring him to the next Fin City.
Bounce a Fin back and forth between ibb and obb 10 times.
Fall through 6 different warps without touching the ground.
Finish a level without dying.