Catholic Theological Heresy
Joseph Cardinal Ratzinger, prefect of the Sacred Congregation for the Doctrine of the Faith, released a commentary letter outlining specific examples. This is what is outlined below with additional specifics (references to the 1994 Catechism have been added). This listing is not exhaustive but highlights major examples in each section. [Numbers] refer to references to Denzinger's Echridion Symbolorum, an organized collection of Church doctrine/teachings.
Detecting heretical or hostile theology is often more difficult than liturgical abuses, but the references below are a first step in the process. What is taught in Christian Education and from during the homily is just as important as what is 'done' in liturgy.
Denial of any part of these doctrines constitutes heresy
~ Christological dogmas [21]: Catechism 430-682
~ Marian dogmas [22]: Catechism 484-511; 717-726; 963-975; 1477; 2162; 2617-2619; 2673-2682
~ the doctrine of the institution of the sacraments by Christ and their
......efficacy with regard to grace [23]: Catechism 1113-1689
~ the doctrine of the real and substantial presence of Christ in the Eucharist [24]: 1373-1381
~ the sacrificial nature of the eucharistic celebration [25]: Catechism 606-611; 1356-1372
~ the foundation of the Church by the will of Christ [26]: Catechism 760-780
~ the doctrine on the primacy and infallibility of the Roman Pontiff [27]: Catechism 880-892
~ the doctrine on the existence of original sin [28]: Catechism 388-421
~ the doctrine on the immortality of the spiritual soul... Catechism 362-368
~ ...and on the immediate recompense after death [29]: Catechism 1020-1041
~ the absence of error in the inspired sacred texts [30]: Catechism 101-141
~ the doctrine on the grave immorality of direct and voluntary killing of
......an innocent human being [31]: Catechism 2258-2283
Denial of these doctrines constitutes lack of full communion with the Church
~ the development in the understanding of the doctrine connected with the definition of papal
...... infallibility, prior to...the First Vatican Council: Catechism 891
~ the priestly ordination is reserved only to men:
...... APOSTOLIC LETTER ORDINATIO SACERDOTALIS of John Paul II, May 22, 1994
~ the illicitness of euthanasia: Catechism 2277
~ the illicitness of prostitution [35] and of fornication [36]: Catechism 2353-2355; 2396
~ the legitimacy of the election of the Supreme Pontiff: Code of Canon Law 349
~ the celebration of an ecumenical council: Catechism 884 & 891
~ the canonizations of saints (dogmatic facts): Catechism 828
~ the declaration...on the invalidity of Anglican ordinations [37]: Apostolicae Curae
A third, less well-defined area includes "general to teachings set forth by the authentic ordinary Magisterium in a non-definitive way"