Here is the full list of all 45 The Forest achievements. It takes around 50-60 hours to unlock all of the achievements on Windows.
Grow all plant types
Revive 10 co-op players
Eat an entire family
In Single Player, don't kill any cannibals for more than 10 days in a row
Use the compass
Kill shark. Alone in Single Player or together in Multiplayer.
Kill 6 or more fish with a stick of dynamite. Alone in Single Player or together in Multiplayer.
Collect all cassette tapes!
Cut down 100 trees
Survive 5 nights
In Single Player, kill 100 cannibals
Repair a shelter
Knock down 6 or more trees with 1 explosive. Alone in Single Player or together in Multiplayer.
Eat an enemy
Share a food or drink item in MP
Make and wear stealth armour
Killed downed enemy with rock
Kill bird with arrow
Sleep with another player (group sleep)
Sleep on yacht
Revive one co-op player
Survive 1 night
Kill a bunny. Alone in Single Player or together in Multiplayer.
Share a weapon in MP
Craft all items
Kill all animal types and display heads
Play through entire game without killing or eating animals. Alone in Single Player or together in Multiplayer.
Craft 10 medicine items
Explore all caves
Build a super long wall
Chop up 50 bodies
Finish Game
Find all missing passengers
Eat all mushroom types
Pass 50,000 steps
Set off 20 bombs
Collect all robot pieces
Cut down 1000 trees
Catch fish with a trap. Alone in Single Player or together in Multiplayer.