Here is the full list of all 10 Woodle Tree Adventures trophies - there are 7 bronze, 1 silver and 2 gold.
Unlock The Orange Leaf
Unlock The Yellow Leaf
Complete The First Level
Unlock The White Leaf
Beat The Game
Collect 500 Berries
Collect 1000 Berries
Collect 3000 Berries
Play Extra Level 1
Play Extra Level 2