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