Here is the full list of all 34 Domina achievements.
Achieve 100 Victories in the Arena
Sell 25 men
Drive a Behemoth Regional Champion to Surrender
Dismember/decapitate 50 limbs/heads
Defeat 12 Regional Champions
Kill a gladiator with a wooden weapon
Finish the game with final victory
Set 25 men free
Defeat 3 Regional Champions
Kill a gladiator trapped in a net
Surrender 25 times
Spill 25000 Units of Blood
Fully upgrade all equipment for a Retiarius on 3 different men
Spill 15000 Units of Blood
Kill a man who is chained to the ground
Fully upgrade all Murmillo equipment on 3 different men
Spill 5000 Units of Blood
Achieve victory after breaking free from chains
1st Dismemberment
1st Decapitation
Draw first blood in 3 battles
Fully upgrade all Thraex equipment on 3 different men
Achieve 1000 Victories in the Arena
Achieve 25 Victories in the Pit
Unlock All Doctore Special Training in a Single Playthrough
Obtain a Lion to Fight in the Arena
Kill 10 Lions in Combat
Kill 5 gladiators with a lion
Defeat 24 Regional Champions
Defeat a Behemoth Regional Champion with your own Behemoth
Throw a gladiator to his death
Kill a gladiator with a thrown weapon
Kill 9 gladiators in a single battle with only one man
Put to death 25 men