Most movements against the Catholic Church have been called
heresies, the general title, there have been many: The Catholic
Church is nearly two thousand years old, there have been untold
heresies which were religious movement against the Church in that
time. A short list of the "Great Heresies":
The Circumcisers (1st century)
Gnosticism (1st and 2nd centuries)
Montanism (late 2nd century)
Savellianism (early 3rd century)
Arianism (4th century)
Pelagianism (5th century)
Semi-Pelagianism (5th century)
Nestorianism (5th century)
Monophysitism (5th century)
Iconoclasm (7th and 8th centuries)
Catharism (11th century)
Protestantism (16th century)
Jansenism (17th century)