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
Collect all robot pieces
Pass 50,000 steps
Survive 100 days without finding your son
Craft all items
Find all missing passengers
Explore all caves
Kill all animal types and display heads
Eat all mushroom types
Be in a game when 6 or more fish are killed with a stick of dynamite
Collect all cassette tapes!
Chop up 50 bodies
Eat an entire family
In a Single Player game, set off the sprinklers
In a Single Player game, repair a hunting shelter
Play through entire game without killing or eating animals
In a Single Player game, destroy 6 or more trees with 1 explosive
Kill shark in Single Player
Craft 10 medicine items
Cut down 1000 trees
Plant all 3 seed types
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
In a Single Player game, kill a bird with an arrow
Make and wear stealth armour
In a Single Player game, kill a bunny
Sleep on yacht
Build a gazebo in a Single Player game
Killed downed enemy with rock
Place a blueprint for a super long wall
Share a weapon in MP
Catch a fish with a spear
Use the compass
Revive 10 co-op players
Sleep with another player (group sleep)
Share a food or drink item in MP