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