Here is the full list of all 16 Frozen Synapse achievements.
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.
Lose a unit to a rocket.
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.
Lose your first multiplayer game.
Change the map generation settings.
Play an Instant Skirmish and win with only your machine gunner left alive.
Finish the tutorial.
Ignore an enemy.