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