Here is the full list of all 20 Swords and Sandals Crusader Redux achievements.
Defeat Platos in battle
Win a game of Conquer the Realm
Defeat the Great Kong in battle
Win the Battle For Brandor
Complete Chapter 8 of the Campaign
Have at least 3000 gold in the treasury at any one time.
Complete Chapter 7 of the Campaign
Complete Chapter 6 of the Campaign
Complete Chapter 5 of the Campaign
Complete Chapter 4 of the Campaign
Complete Chapter 3 of the Campaign
Complete Chapter 2 of the Campaign
Complete Chapter 1 of the Campaign
Upgrade all troop types in your army
Win a game of Quick Battle
Reach Round 10 in Survival Mode
Defeat the Duel Sentinel ACS2 in battle
Defeat the Shi-Tzurantula in battle
Defeat the Yeti Project in battle
Complete your first campaign mission.