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