Here is the full list of all 53 Hegemony Rome: The Rise of Caesar achievements.
Capture 100 Mines
Defeat Ambiorix (Chapter 4)
Capture/Build 100 Camps
Capture 100 Logging Camps
Defeat 1000 Enemies
Capture Romans as Slaves
Finish Chapter 3
Finish Chapter 3 while losing less than 10 units
Capture 100 Enemy Cities
Discover all regions in Chapter 3
Have 10,000 Total Income
Occupy Britannia (Chapter 3)
Defeat 500 Enemies
Promote 100 Officers
Capture 100 Farms/Fisheries/Cattle Farms
Finish Chapter 2
Build 100 Upgrades
Win the Battle of the Sabis
Finish Chapter 1
Finish Chapter 1 while losing fewer than 5 units
Discover All Regions in Chapter 1
Harvest 10,000 Wood
Capture 1000 Slaves
Win the Battle of Bibracte
Harvest 10,000 Food
Capture All Salasii Cities during Chapter 1
March 1000 km
Finish Chapter 1 in Fewer than 30 Days
Discover all Regions in Chapter 2
Finish Chapter 2 in fewer than 40 days
Finish Chapter 2 while losing fewer than 5 units
Finish Chapter 3 in fewer than 100 days
Discover all Regions in Chapter 4
Finish Chapter 4
Finish Chapter 4 in less than 100 days
Finish Chapter 4 while losing fewer than 10 units
Finish All Four Chapters
Win Sandbox as a Gallic Faction
Win Sandbox as a Germanic Faction
Win Sandbox as a Briton Faction
Win Sandbox as 10 Different Factions
Win Sandbox as 25 Different Factions
Defeat 5000 Enemies
Build 100 Bridges
Raid 100 Farms
Discover 50% of All Regions
Discover 100% of All Regions
Defeat a Roman Faction as Another Roman Faction
First Time Caesar Falls in Battle
Sink 100 ships as a Briton Faction
Conquer All Roman Territory with a Non-Roman Faction
Play 100 Hours Unpaused
Win Sandbox as a Roman Faction