Here is the full list of all 12 Weird Park: The Final Show trophies - there are 7 bronze, 4 silver and 1 gold.
You completed the game and rescued Patrick
You completed the game without skipping a single mini-game
You completed the game without using a single hint
You stopped the magic roundabout and rescued Patrick
You have purchased every upgrade in the Shop
You made the magic elixir!
You defeated the mechanical spider!
You rescued the clown!
You solved a mini-game in less than 20 seconds!
You collected more than half of the candy canes.
You collected every item in a hidden object scene without clicking on an item not on the list!
You escaped Mr. Dudley's trap