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