Here is the full list of all 192 Total War: ROME REMASTERED achievements.
Achieve victory in the Scipii short campaign
Achieve victory in the Julii short campaign
Win every land battle in the campaign
Defeat Gaul
Have three or more foreign merchants in a region you control
Achieve victory in the Alexander campaign
Abandon a settlement and return to a Horde
Achieve victory in the battle of Chalons
Achieve victory in all Historical Battles
Achieve victory in the battle of Badon Hill
Defeat the Roxolani
Win a Night Battle without using Auto-resolve
Play a Night Battle for the first time
Conquer every region on the campaign map
Defeat the Eastern Roman Empire
Defeat the Eastern Roman Rebels
Use merchants to control every node on the map of one resource type
Achieve victory in the Western Roman Empire campaign
Defeat the Franks
Defeat the Sarmatians
Have a merchant from a large town trade purple dye
Defeat the Lombardi
Defeat the Western Roman Rebels
Recruit every type of agent in the game
Defeat the Goths
Defeat the Slavs
Defeat the Celts
Defeat the Huns
Defeat the Burgundii
Defeat the Berbers
In Barbarian invasion, fix the debased currency of the late Roman Empire
Defeat the Vandals
Achieve victory in the siege of Sparta
Defeat the Persia faction
Defeat the Dahae faction
Capture all the Persian port settlements in Alexander
Defeat the Scythia faction
Capture Rhacotis
Defeat the Thrace faction
Complete all of Alexander's historical battles
Achieve victory at the Battle of the Hydaspes
Achieve victory at the Battle of Gaugamela
Achieve victory in the Battle of Issus
Achieve victory at the Siege of Halicarnassus
Win as Dahae in a multiplayer match
Play as Persians in a multiplayer match
Win as Persians in a multiplayer match
Play as India in a multiplayer match
Win as India in a multiplayer match
Play as Macedon in a multiplayer match
Win as Macedon in a multiplayer match
Achieve victory in a Multiplayer match
Play as Dahae in a multiplayer match
Achieve victory at the Battle of Granicus River
Defeated due to Alexander dying in battle
Go bankrupt
Defeat the Illyrian faction
Achieve victory in your first campaign battle without auto-resolving
Achieve victory at the Battle of Chaeronea
Achieve victory in the battle of Asculum
Achieve victory in a battle where your general dies
Defeat Carthage
Defeat Britannia
Defeat Spain
Defeat Parthia
Defeat Germania
Defeat Scythia
Defeat Numidia
Draw in a battle
Use a Wardog unit
Win a Quick Battle
Set up and play a Custom Battle
Win a Custom Battle
Achieve a close victory in battle
Use an Incendiary Pig unit
Defeat two other Roman Factions as a Roman faction
Defeat the Scipii Faction
Defeat Armenia
Defeat one other Roman Faction as a Roman faction
Defeat the Julii Faction
Defeat Egypt
Hold all the wonders in the game
Capture Hanging Gardens of Babylon
Achieve victory in the Brutii long campaign
Fight a battle with reinforcements
Defeat the Senate as a Roman faction
Send a unit of elephants into battle
Defeat Thrace
Play a defender in a Multiplayer siege match
Capture The Great Pyramid and Sphinx of Giza
Continue a battle after you have already won
Capture Pharos of Alexandria
Reach the Marius Event
Declared Strongest faction
Achieve victory in the Brutii short campaign
Defeat the Greek Cities
Complete a campaign and auto-resolve all battles
Capture Temple of Artemis at Ephesus
Capture Colossus of Rhodes
Spread plague to other settlements through one of your agents
Capture the Mausoleum of Halicarnassus wonder
Defeat Macedon
Declared Largest faction
Control every resource in one region
Exterminate a settlement
Declared Richest faction
Declared Most Advanced faction
Capture Statue of Zeus at Olympia
Occupy a settlement
Play an attacker in a Multiplayer siege match
Complete the Tutorial
Enslave a settlement
Achieve a clear victory in a battle
Achieve victory in the Julii long campaign
Achieve victory in the Scipii long campaign
Achieve victory in the Egyptian long campaign
Achieve victory in the Seleucid long campaign
Achieve victory in the Carthaginian long campaign
Achieve victory in the Parthian long campaign
Achieve victory in the Gaul long campaign
Achieve victory in the German long campaign
Achieve victory in the Greek long campaign
Achieve victory in the Britannia long campaign
Achieve victory in the Macedon long campaign
Achieve victory in the Pontus long campaign
Achieve victory in the Armenia long campaign
Achieve victory in the Dacia long campaign
Achieve victory in the Numidia long campaign
Achieve victory in the Scythia long campaign
Achieve victory in the Spain long campaign
Achieve victory in the Thrace long campaign
Achieve victory in the Egyptian short campaign
Achieve victory in the Seleucid short campaign
Achieve victory in the Carthaginian short campaign
Achieve victory in the Parthian short campaign
Achieve victory in the Gaul short campaign
Achieve victory in the German short campaign
Achieve victory in the Greek short campaign
Achieve victory in the Britannia short campaign
Achieve victory in the Macedon short campaign
Achieve victory in the Pontus short campaign
Achieve victory in the Armenia short campaign
Achieve victory in the Dacia short campaign
Achieve victory in the Numidia short campaign
Achieve victory in the Scythia short campaign
Achieve victory in the Spain short campaign
Achieve victory in the Thrace short campaign
Defeat the Brutii Faction
Defeat the Senate as a non-Roman faction
Defeat the Seleucid Empire
Defeat Dacia
Defeat Pontus
Achieve victory in the battle of Lake Trasimene
Achieve victory in the battle of Raphia
Achieve victory in the battle of Telamon
Achieve victory in the siege of Gergovia
Achieve victory in the battle of the River Trebia
Achieve victory in the battle of Carrhae
Achieve victory in the battle of Cynoscephalae
Achieve victory in the battle of Teutoburg Forest
Achieve victory in the Eastern Roman Empire campaign
Achieve victory in the Huns campaign
Achieve victory in the Goths campaign
Achieve victory in the Sarmatians campaign
Achieve victory in the Vandals campaign
Achieve victory in the Franks campaign
Achieve victory in the Saxons campaign
Achieve victory in the Celts campaign
Achieve victory in the Sassanids campaign
Achieve victory in the Roxolani campaign
Achieve victory in the Ostrogoth campaign
Achieve victory in the Romano-British campaign
Achieve victory in the Slavic campaign
Achieve victory in the Burgundii campaign
Achieve victory in the Berber campaign
Achieve victory in the Alemanni campaign
Achieve victory in the Lombardi campaign
Defeat the Western Roman Empire
Defeat the Saxons
Defeat the Alemanni
Defeat the Sassanids
Defeat the Romano British
Defeat the Ostrogoths
Make Paganism the majority religion
Make Christianity the majority religion
Make Zoroastrianism the majority religion
Achieve victory in the Alexander campaign on very hard mode
Defeated due to Alexander dying of plague
Complete all of Alexanders's historical battles on very hard mode
Complete a campaign without auto-resolving a single battle
Have merchants on every resource type on the map