What are the forms of Heresy in Christianity?

In 385 AD, the first recorded executions for heresy involved Priscillian, Bishop of Ávila who was charged with witchcraft, though his real crime seems to have been agreeing with Gnosticism.
Emperor Maimus, 385 AD

In 450 AD, Pope Leo the Great commended the Emperor Justinian for torturing and executing heretics on behalf of the Christian Church.
Emperor Justinian, 450 AD

In 1612, Unitarians were executed in London, Lichfield and in Dumfries.

In 1525, Thomas Münzer was burned at the stake.

In 1526, Feliz Manz was drowned (drowning was a favourite way of executing Anabaptists because of their views on baptism).

In 1527, Michael Sattler had his tongue cut off, was mutilated by red-hot pincers, and was burned alive.

In 1530, a town, Münster, converted to Anabaptism in the 1530s, the Anabaptist leaders were publicly tortured to death with red-hot pincers and their bodies hung in cages outside a church, where they remained for years.

In 1592, Henry Barrow and John Greenwood, who preached congregationalism, were hanged at Tyburn for "obstinately refusing to come to church". Their real crime seems to have been to advocate the separation of Church and State.

In 1243, following the apostolic commands of Pope Innocent IV, the Archbishop of Narbonne had 200 heretics burned alive.

In 1155, Arnold held that the wealth and power of the Church was un-christian. He led a movement to establish a Roman republic and return the clergy to apostolic poverty. He was hanged and then burned as a heretic by Pope Adrian IV.
Arnold of Brescia, a pupil of Abelard, 1155 AD

In 1184, the Waldensians, or Vaudois denied the authority of Christian priests and objected to Church papal corruption. They were ex-communicated as heretics in 1184 AD at the Council of Verona.

In 1393, 150 heretics were burned at Grenoble in a single day.

In 1229, Pope Gregory declared it the duty of every Christian Catholic to persecute heretics. He preached a crusade against the Stedingers, a Germanic people for rejecting the authority of the Archbishop of Bremen. An army of 40,000 under the bishops of Ratzebourg, Lubeck, Osnabrück, Munster and Minden slaughtered nearly 11,000 Stedingers in battle. Many were drowned in the Weser along with women, children and old men. The whole population was exterminated.
Pope Gregory IX, 1229 AD

In 1633, William Prynne, a Puritan lawyer, published criticisms of Archbishop Laud. As punishment, his ears hacked off by the public hangman.

In 1637, William Prynne was charged and tried again by the Star Chamber. As Prynne still had stumps left on the side of his head, these were severed off. Prynne was branded on the cheeks, and then imprisoned for life.

In 1300, the Apostlicals, a Christian sect tried to live like the apostles. The sect's founder was burned at the stake. His successor, Dulcino of Novara was publicly torn to pieces with hooks, as was his wife.

In 1327, Cecco d'Ascoli, an Italian scientist, was burned at the stake for having calculated the date of Jesus' birth using the stars.

In 1536, William Tyndale translated the Greek Bible into English. He was arrested in the Netherlands, and was duly executed.

One printer in Paris was burned on a pyre of his own books.

In 1676, a Protestant writing master from Toledo was burned at the stake for having decorated a room with the verses of the Ten Commandments.

In 1531, Martin Luther started advocating the death penalty for heretics and blasphemers. He thought it should be a capital offence to deny the resurrection of the dead
Martin Luther, 1531 AD

In 1531, Martin Luther started advocating the death penalty for heretics and blasphemers. He thought it should be a capital offence to deny the reality of heaven and Hell
Martin Luther, 1531 AD

In 1546, Anne Askew was burned at Smithfield because of her beliefs about the Eucharist.

Daniel Rambaut had his toes and fingers cut off in sections: one joint being amputated each day in an attempt to make him recant and accept the Roman Catholic faith.

Paolo Garnier of Roras was castrated, then skinned alive.
Waldensians Heresy, Peter Waldo of Lyon, 1184 AD

Around 1520, the Diocese of Lincoln was convicting over 100 people a year for the crime of "not thinking like a Catholic".

In 1528, Patrick Hamilton was burned at St Andrews for holding heretical opinions, notably a denial of the freedom of will.

In 1051, a group of Christians who declined to kill chickens were executed for heresy.
Goslar, Germany 1051 AD