Here is the full list of all 23 The Last Haven achievements.
Build a Field Hospital
Build a Science Center
Build a Resource Station
Build a Sawmill
Build a Stone Crusher
Build a Warehouse
Eliminate 10 enemies
Eliminate 50 enemies
Eliminate 100 enemies
Eliminate 150 enemies
Eliminate 200 enemies
Build a Kitchen
Build a Bar
Build a Coal Production Station
Build a Factory I
Build a Factory II
Build a Fort I
Build a Fort II
Build a Barracks
Build a Propaganda Center
Build a Scaffold
Eliminate 250 enemies
Make a delicious meat stew! The doctor will be happy! Om nom nom