Here is the full list of all 30 Frozen Synapse Prime achievements.
Complete the campaign
In a match kill 3 enemy units with 1 Sniper unit
Get 20 kills with the Sniper unit
Make a kill with the Commando unit
Play the game at either 11:11 am or 11:11 pm
Get 20 kills with the Grenade Launcher unit
Make a kill with the Devastator unit
Get 20 kills with the Rocket Launcher unit
With 1 unit wipe out an entire enemy team of 4 or more units
Kill 3 enemy units with 1 explosion
Win your first Instant Skirmish match
Win an Instant Skirmish match in 1 turn
Get 20 kills with the Shotgun unit
In the Campaign extract all of the collectables in any Extraction mission
Kill an enemy unit by bouncing a grenade off a wall
Get 20 kills with the Machine Gun unit
Get a Gold rank on any Campaign mission
Complete Nashar: Extraction with both bodyguards alive
Complete the first Campaign mission.
Get a Silver rank on any Campaign mission
Complete both Tutorials
Watch a Kill Cam replay
Earn all of the other Achievements
Win a multiplayer match
Win a multiplayer match without losing a single unit
Kill 25 enemy units in Multiplayer
Kill 50 enemy units in multiplayer
Kill 100 enemy units in Multiplayer
Play every game mode at least once
Have 3 or more enemy units visible in a match with visibilty set to 'Dark'