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