Here is the full list of all 24 Roman Way achievements.
Use "random" at least 5 times.
Maximize health expenses for a year.
Have 50 relationships with any city.
Earn 10.000 denaris by using the ability of "Bargain Expert".
Supply all the demands of a city.
Produce everything which slaves need for a year. (bread-fish-fruit)
Save 20.000 denaris.
Sell things which value 100.000 denaris.
Save 40.000 denaris in 5 years.
Have a tavern which works uninterrupted for 2 years.
Have 30 slaves just by selling flour.
Research all researches.
Have higher efficiency than 80%.
Have higher health than 80%.
Have at least 50 slaves.
Have at least 100 slaves.
Have 500.000 denaris.
Sell 5000 swords and armors separately to army camp.
Unlock all abilities.
Have at least 50 slaves in the hardest mode.
Complete first scenario.
Have 20.000 denari before having 60 slaves in the first scenario.
Complete second scenario.
Complete second scenario at least 2 years earlier than expected.