Here is the full list of all 46 Slaves of Rome achievements.
Finish the tutorial
Acquire your first slave
Acquire the Pleasure House
Reach 45 Reputation
Reach 100 Reputation
Reach 200 Reputation
Finish Maximus Questline
Acquire Dungeon II or have 5 slaves
Befriend Caesar
Finish Romilious Questiline
Deliver 500 whip hits
Deliver 1000 whip hits
Deliver 2000 whip hits
Deliver 5000 whip hits
Unlock all poses on a slave
Buy a slave from the Oasis
Throw vegetables on the Public X-Cross
Find Atticus faul play
Find the letter
Help Dimiara
Return Dimiara to her master
Visit the catacombs at night
Buy all the tools from the merchant
Have all dungeon upgrades with full prison cells
Fornicate with a slave on the pillory
Make a slave fall in love with you
Make slave be terrified of you
Finish a sex scene without reaching climax
Fornicate with a slave in Harp pose
Punish a slave on the Pipe pose
Push your slave far enough to runaway
Deliver the statue to Amelia
Unlock the dominant partner option
Collect all types of vegetables
Play as hermaphroditus
Complete the Main questiline
Seduce one of the nymphs
Acquire the Pleasure House without paying a single dinari
Complete the main questline without punishing any slave (Interrogation is excluded)
Acquire Valeria at your dungeon
Clean up after the guards to the outpost
Give the treasure info to Romius
Steal Romilious treasure for yourself
Earn over 20k dinari by selling slaves
Kill the guards in the outpost, without them being alerted
Complete training on archery