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