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