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