Here is the full list of all 13 Mr. Pumpkin Adventure trophies - there are 9 bronze, 3 silver and 1 gold.
Clear the fourth chapter, "The theater".
Clear the third chapter, "Four cubes".
Clear the second chapter, "Escaping".
Clear the first chapter, "Wake up".
Clear the mini-game for the first time.
Clear the fifth chapter, "The metro".
Clear the sixth chapter, "The end of the world".
Clear the seventh chapter, "The lab".
Collect all of the diary pieces.
Arrive to the end of the seventh chapter, "The lab".
Arrive to the end of the eighth chapter, "My way".
Arrive to the end of the sixth chapter, "The end of the world".
Experienced all 3 endings of the game, plus win at the mini-game at least 5 times and fail at least 10 times.