Here is the full list of all 51 Templar Battleforce achievements.
Kill 30 Xeno in a Single Turn
Kill 20 Xeno in a Single Turn
Captain Survives 20 Battles
Kill 500 Xeno Overall
Captain Survives 10 Battles
Kill 200 Xeno in a Single Level
Kill 10 Xeno in a Single Turn
Research All Captain
Research All Berserker
Research All Neptune
Reach Max Level 20 with Captain
Complete the Stratos Orbital post-campaign deployment
Research All Hydra
Research All Soldier
Research All Engineer
Kill 100 Xeno in a Single Level
Kill 4 One Attack
Kill 5 One Attack
Research All Scout
Research All Paladin
Complete Campaign on Normal
Kill 50 Xeno in a Single Level
Capture a TP
Captain Survives 1 Battle
Kill 3 One Attack
Destroy a Xeno in a single attack.
Save Soldier Dalan
Destroy a Xeno with a single counter-attack.
Captain Survives 30 Battles
Kill 1,000 Xeno Overall
Kill 25 Xeno in a Single Level
Stockpile 2000 SP
Deploy a Berserk
Deploy a Engineer
Kill 5 Xeno in a Single Turn
Kill 2 One Attack
Deploy a Scout
Deploy a Soldier
Deploy a Neptune
Deploy a Hydra
Deploy a Paladin
Demolish a TP
Stockpile 1000 SP
Kill 10,000 Xeno Overall
Complete Campaign on Easy
Complete Campaign on Demanding
Complete Campaign on Hard
Complete Campaign on Brutal
Complete Campaign on Nightmare
Complete Campaign on Ironman
Complete Campaign on Ironman Hell