Here is the full list of all 29 Primal Fears achievements.
Finish a mission in difficulty hard without being killed
Finish a mission within time limit
Finish the map Laboratory
Finish all missions in easy
Finish all missions in normal
Find all newspapers
Pickup 100 moneypacks
Finish the map Laboratory - Secret Entrance
Finish the map Mall
Finish the map Sewer
Find 12 different newspapers
Purchase all weapons in the campaign
Finish the map Police Station
Kill 1000 creatures
Finish the map Suburb
Find five different newspapers
Kill 10 creatures
Kill 100 creatures
Finish the map Hospital
Bonus multiplier reached 200
Bonus multiplier reached 100
Bonus multiplier reached 50
Find one newspaper
Bonus multiplier reached 10
Kill 5000 creatures
Kill 10000 creatures
Kill 15000 creatures
Finish all missions in hard
Finish all missions in insane