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