Here is the full list of all 47 Balan Wonderworld trophies - there are 31 bronze, 13 silver, 2 gold and 1 platinum.
Collect all trophies
Perform on every stage
Collect every costume
Complete every Act Three
Collect every multicoloured Balan statue
Collect every gold Balan statue
Complete every round of Balan's Bout ranked "Excellent"
Complete the Tower o' Tims
Play every mini game in every chapter
Defeat a Lanced Nessi
Defeat a Lanced Plenti
Defeat a Lanced Multipli
Defeat a Lanced Endlessli
Defeat one thousand Negati
Defeat a Ghostli
Bring the Ultima Tim into the world
Populate the Isle of Tims with one hundred Tims
Defeat Lance
Complete Chapter Twelve
Complete Chapter Eleven
Catch a fleeing cast member
Collect fifty costumes
Complete Chapter Ten
Collect over one thousand drops in a single act
Complete Chapter Nine
Complete Chapter Eight
Complete Chapter Seven
Complete Chapter Six
Find your way backstage for the first time
Complete Chapter Five
Populate the Isle of Tims with thirty Tims
Complete Chapter Four
Perform on a stage for the first time
Collect twenty costumes
Complete Chapter Three
Collect your first raindrop
Discover the Father Tim statue
Defeat five Negati in a row
Complete Chapter Two
Unlock the Tower o' Tims
Feed a drop to a Tim for the first time
Complete Chapter One
Defeat a Negate-guarding Negati for the first time
Play a round of Balan's Bout for the first time
Defeat a Negati for the first time
Collect your first Balan statue
Don a costume for the first time