Here is the full list of all 20 ICBM achievements.
Win one Multiplayer game
Win 10 Multiplayer games
Win 50 games, single or multiplayer
Win at least one for each faction
Kill the total of 7.8 billion people
Be the only player in positives in 5+ players game (Default Scoring)
Achieve the rating of 1500+
Discover all techologies in a single game
Save 100% of your population and kill nobody in 5+ players game
Win and save 95% of your population
Kill 80% of enemy population in 3+ players game
Drop twenty 50MT bombs in a single Multiplayer game
Win the game using only the submarine-based nukes
Reduce the population of a city to less than 1000 in Multiplayer
Build a reserve of 5000 MT before dropping a single bomb (Multiplayer)
Build a fleet of 10+ carriers and win a game
Destroy a total of 10 enemy silos before they can launch any Nukes
Win using only the mobile ICBMs and MRBMs
Intercept at least 25 enemy ICBMs with Satelites
Sacrifice 10 bombers by dropping bombs beyond return range