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