Attila religions
The bonus each religion gives the faction that holds it as its state religion, in the game's words, with its religious buildings and how many Grand Campaign regions it is present in at the start.
Arian Christianity
Present in 185 regions at the start
As state religion — Arian Christian
Religious influence: +1 Arian Christianity (all regions)
Latin Christianity
Present in 136 regions at the start
As state religion — Latin Christian
Religious influence: +1 Latin Christianity (in neighbouring provinces) (all provinces)
Graeco-Roman paganism
Present in 104 regions at the start
As state religion — Roman Paganism
Sanitation: +2 (all regions)
Manichaeism
Present in 72 regions at the start
As state religion — Manichaeism
Public order: Up to +1 bonus from presence of Manichaeism (all provinces)
Greek Christianity
Present in 45 regions at the start
As state religion — Greek Christian
Research rate: +5% for civic developments (factionwide)
Celtic paganism
Present in 39 regions at the start
As state religion — Celtic Paganism
Wealth: +3% from all buildings (all regions)
Zoroastrianism
Present in 35 regions at the start
As state religion — Zoroastrian
Growth: +1 (all provinces)
Minor Religions
Present in 29 regions at the start
As state religion — Minor Religions
Morale: +1 (all forces)
Religious buildings: Religion
Germanic paganism
Present in 22 regions at the start
As state religion — Germanic Paganism
Army recruitment capacity: +1 (all provinces)
Tengriism
Present in 11 regions at the start
As state religion — Tengri
Integrity: +1 (all forces)
Slavic paganism
Present in 6 regions at the start
As state religion — Slavic Paganism
Public order: Up to +1 bonus from presence of Slavic paganism (all provinces)
Semitic paganism
Present in 6 regions at the start
As state religion — Semitic pagan
Replenishment: +5% (all armies)
Religious buildings: Semitic Paganism, Semitic Paganism
Eastern Christianity
Present in 5 regions at the start
As state religion — Eastern Christian
Corruption: -5% of current value (factionwide)
Religious buildings: Eastern Christianity, Eastern Christianity
Judaism
Present in 4 regions at the start
As state religion — Jewish
Wealth: +5% from industrial buildings (all regions)
Age of Charlemagne has its own five religions: Christianity, Islam, Judaism, Paganism, Tengriism.
From religions, campaign_faction_religion_effects, effect_bundles_to_effects_junctions, the religion building sets and region_religions (Steam build 25370302).