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