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