Here is the full list of all 14 Precipice achievements.
As the USSR, reach the moon first.
Secure victory in less than 20 turns.
As the US, stay at war in Vietnam for five consecutive turns.
Secure the full loyalty of both East and West Germany in the Classic map.
Press the big red button.
Decline to press the big red button.
As the US, reach the moon first.
As the US, invade Cuba without ever having backed down from a challenge, then go on to win the game.
As the Soviet Union, invade Afghanistan without ever having backed down from a challenge, then go on to win the game.
Win the game, playing in the Classic Map, and having cornered the global market of raw materials at game's end.
As the USSR, secure the loyalty of Canada and Mexico in the Classic map.
As the US, stage a successful coup in Chile.
As the USSR, assassinate two spies in the same turn.
Breeze through the tutorial in less than 170 seconds.