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