Here is the full list of all 12 Gladiators: Ludus Manager achievements.
Win your first match!
Acquire your Ludus!
Buy your first Slave!
Hire your Doctor.
Defeat the champion of Leptis Magna
Defeat the champion of Tarentum.
Defeat the champion of Utica.
Defeat the champion of Brundisium.
Defeat the champion of Capua.
Defeat the champion of Rome!
Beat the game!!
Acquire all Ludus upgrades.