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