Here is the full list of all 16 Frozen Synapse achievements.
Change the map generation settings.
Lose your first multiplayer game.
Play an Instant Skirmish and win with only your machine gunner left alive.
Lose a unit to a rocket.
Finish the tutorial.
Ignore an enemy.
Blow up the 4th wall in a level with a rocket launcher.
Get to Level 10.
Complete the Single Player Campaign.
Lose your first single-player mission.
Defeat 'Bin' in multiplayer.
Win a game of Extermination.
Win a game of Charge.
Win a game of Disputed.
Win a game of Hostage.
Get to level 100.