Since it's been asked a few times, I thought I'd collect the changes to various religions/heresies all in one place (for later linking):
CATHAR:
- base -25% fertility
- Cannot use the Holy War cb until Holy War or Crusade has been used by a Catholic against a Cathar
- The Cathar religion head is a Patriarch/Matriarch, with a Council of Perfecti that elect him/her. Those on the council are Deacons/Deaconesses, and can be selected from amongst bishops as well as non-ruling Cathar with a religious education trait -- so long as they have the Perfectum trait.
- Have access to the Consolamentum decision to make themselves Perfectum
- Perfectum/Celibate Cathar rulers may adopt an heir
- May not choose the Seduction or Family focus
- Have lowered garrison and levy sizes, but higher morale
- Have an event to spawn their creation in southern France in the early 12th century
LOLLARD:
- Lollard bishops may marry
- Can gain the Icon-Breaker trait by sacking Christian temples
- Have a decision to translate the Bible, increasing their MA and reducing Catholic MA
- May freely revoke titles of priests who are non-Lollard or who have the Wicked Priest trait
- May gain strong claims to Lollard priests who have titles of Duke rank or higher
- May freely renounce vows of chastity or the monk/nun trait
WALDENSIAN:
- Gain a Stewardship and garrison bonus
- May have donations to the poor enforced through a special law
- Have the ability to choose a Waldensian path upon adulthood
- Have a decision to translate the Bible, increasing their MA and reducing Catholic MA
- Refuse to go on pilgrimage, and can sack Catholic Pilgrimage sites
- Waldensian priests can both marry and inherit
- Waldensian priests may not be Chancellors or Lord Treasurers.
ICONOCLAST:
- may destroy icons upon besieging a christian temple (and receive the Icon-Breaker trait)
- receive a morale bonus for their armies
- It is now also possible for an emperor besides the ruler of Byzantium to create an Iconoclast Patriarch.
BOGOMILIST:
- have an event for Bogomil's appearance in Bulgaria, if Tyrnovo has become Orthodox
- feudal rulers may have temple holdings as well as castles
- may use the Consolamentum decision to become Perfecti
- may use the adoption decision, as the Cathar do
- may gain the Icon-Breaker trait by sieging Christian temples
- occasionally spawn missionaries in neighboring non-Bogomilist courts
- are anti-church and anti-feudal at the outset, but may reform their faith through a series of laws and decisions to the point of allowing temple holders to once again be bishops and to have a religion head
- once a religion head is gained, Bogomilism will no longer be an Orthodox heresy but its own religion in the Christian group
- may not have Perfecti in government positions until the religion has been sufficiently reformed
- may build the Church of St. Bogomil once the religion has been sufficiently reformed
MIAPHYSITE:
- Miaphysite has been split into Apostolic (has a Catholicos as religion head) and Coptic (has Coptic Pope as religion head). Coptic retains Monophysite as its heresy, while Apostolic has both Tondrakian and Paulician as heresies.
- Rulers of high Learning (8+) now have the ability to embrace either the Alexandrine or Antiochian school of theology.
- Desert Mothers and Desert Fathers exist for Coptics/Monophysites -- they are wandering ascetic monks/nuns, and while they can become Chancellors or Lord Spirituals (and cannot lead armies), they will eventually move on to another court.
- have a decision to 'Repudiate the Council of Chalcedon', turning Orthodoxy and the other Miaphysite faith into heresies, and may 'Enforce the Council of Ephesus' once that has been done. Once Orthodox has become a heresy, they may use the 'Unite Christianity' decision against Catholicism in the same manner.
PAULICIAN:
- Are now a Miaphysite (Apostolic) heresy, rather than an Orthodox heresy
- May raid, as pagans do
- May declare Holy War on anyone not of the same religion
- The Paulician Patriarch may declare Crusade against anyone not of the same religion
- Receive a morale bonus and an offensive bonus for light infantry
- May expend Piety to raise units of zealots
- Can receive the Icon-Breaker trait after besieging a Christian temple
NESTORIAN:
- Rulers of high Learning (8+) now have the ability to embrace either the Alexandrine or Antiochian school of theology.
- Nestorians have a decision to 'Repudiate the Council of Ephesus', turning Orthodoxy into a heresy, and may 'Enforce the Council of Chalcedon' once that has been done. Once Orthodox has become a heresy, they may use the 'Unite Christianity' decision against Catholicism in the same manner.
MESSALIAN:
- May use ritual prayer and fasting to drive out their internal demons, in order to achieve Perfection
- Non-Perfect Messalians may join the Cult of Lucifer
- May choose a patron saint to worship
- Can form a new Holy Order, the Army of Lucifer
- Receive an Intrigue bonus, but a Diplomacy malus
MANICHAEAN:
- No longer a heresy, but a non-heresy within the Mazdan religion group.
- Have a religious head (the Archegos), which exists in the Charlemagne and Old Gods bookmarks, and can be restored afterwards. Council of Apostles exists as an electorate system for the Archegos, much like Catholic cardinals.
- Have their own holy feast decision, the Bema Feast.
- Receive a defensive bonus for their armies, on their own territory.
- May dedicate themselves to a Shekhinah upon adulthood.
- May found a new holy order, the Army of Light.
MAZDAKI:
- Rulers are expected to share wealth with their people, and there is a new law for Mazdakis to do so
- Have a religion head title which can be created
- Receive a defensive bonus for their armies, on their own territory.
- May dedicate themselves to a Power upon adulthood.
- May have priestesses, and have no negative opinions for female rulers.
HURUFI:
- May create epic works of Islamic poetry.
- May study the secrets of the Qur'an and gain benefits from doing so.
- Receive a learning bonus but a martial malus.
KHARIJITE:
- Have no 5-year cooldown on Holy Wars (it always costs 100 Piety for them)
- May expend 250 Piety to raise zealot armies, in the same fashion that tribals use Prestige
- Have access to the Public Execution diplo-action, usable on prisoners who are either kafir or non-Kharijites, giving prestige and piety (based on the prisoner's importance)
- May accuse immoral vassals of apostasy (and be accused), making them kafir (and giving a large negative to opinions from other Kharijites)
- Kafir have access to decisions to remove immoral traits, and thus clear their name of apostasy
DRUZE:
- May use 'Study Esoteric Knowledge' ambition to ascend to Uqqal (Initiate) status
- Pious Uqqal may ascend to Ajawid status
- Pious or charismatic Druze may invade fellow Muslims with the same criteria as the Prepared Invasion CB
- A pious Ajawid may become the Druze Shaykh religion head
- If the Druze acquire a religion head, it will no longer be a heresy
- Believe in reincarnation
- May not go on Hajj
- Do not use the decadence system
- Are restricted to one wife
- Do not have restrictions on female councillors
- May enforce female claims on titles
YAZIDI:
- Moved into the Mazdan religion group, even though it remains a Sunni heresy.
- Have a pilgrimage decision to go to the holy site of Lalish
- Have a "Circulate the Peacock" festival instead of a Grand Feast
- Believe in reincarnation
- Young men may be declared koasasa, a reincarnation of one of the Seven Archangels
- The religion head is no longer a caliphate, and always exists
OTHER:
* Added Adoptionist as a new Catholic heresy (no special mechanics).
* Added Tondrakian as a new Miaphysite heresy (no special mechanics yet, but they are feminist like the Messalians or Cathars).
* Added Quranist as a new Sunni heresy (no special mechanics, but they can only have 1 wife and can form a caliphate).
* Added Qarmatian as a new Shiite heresy (no special mechanics yet, but they can raid, receive an offensive bonus, and can form a caliphate).
* Added Mandaean as a new Manichaean heresy.
* Added Zurvanite as a new Zoroastrian heresy.