Here is the full list of all 38 The Forest trophies - there are 22 bronze, 11 silver, 4 gold and 1 platinum.
Unlock all trophies
Survive 100 days without finding your son
In a Single Player game, set off the sprinklers
Play through entire game without killing or eating animals
Finish Game
Drink water from cooler that has the lawyer head in it
Buy a soda and candy from vending machine
Drink from coffee machine
Craft all items
Cut down 1000 trees
Collect all robot pieces
Explore all caves
Find all missing passengers
Place a blueprint for a super long wall
Collect all cassette tapes!
Craft 10 medicine items
Kill shark in Single Player
Build a gazebo in a Single Player game
In a Single Player game, destroy 6 or more trees with 1 explosive
In a Single Player game, repair a hunting shelter
Eat an entire family
Chop up 50 bodies
In a Single Player game, kill a bunny
Killed downed enemy with rock
In a Single Player game, kill a bird with an arrow
Make and wear stealth armour
Revive 10 co-op players
Eat all mushroom types
Kill all animal types and display heads
Pass 50,000 steps
Plant all 3 seed types
Sleep on yacht
Use the compass
Be in a game when 6 or more fish are killed with a stick of dynamite
Share a weapon in MP
Sleep with another player (group sleep)
Share a food or drink item in MP
Catch a fish with a spear