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Lets start with a basic one:

Catholics broke with their Church's teachings more than most other groups, with just six out of 10 Catholics affirming that God is "a person with whom people can have a relationship", and three in 10 describing God as an "impersonal force." - 2008 The Pew Forum on Religion & Public Life. http://religions.pewforum.org/comparisons#

Also, Partial List Of Divergent Beliefs Between Catholics

Within official teachings:

Where unbaptized babies go if and when they die?
Geocentricity or Heliocentricity
Whether Trent closed the canon or not
Whether canonizations are or always infallible.
Who all the [so-called] “church fathers” are.
What the church Fathers meant in many cases.
How many Scripture verses have been infallibly or officially interpreted.
What multitudes of Scripture verses surely mean.
The meaning and scope of the inerrancy of Scripture (“for our salvation” or more).
The official immutable position on many theological issues.
The reconciliation of the efficacy of grace with human freedom.
The relationship between Scripture and Tradition: partim-partim or not.
How many infallible teachings there are, and what they all are
What magisterial level multitudes of teachings belong to, and thus the manner of assent required.
What required assent to non-infallible official teachings all entails.
The meaning of official Catholic teaching to varying degrees.
How to reconcile Extra ecclesiam nulla salus and Lumen Gentium,and if former Catholics who die as faithful evangelical-type Protestants are lost.
Whether the anathemas of Trent apply to Protestants today and what they entail.
Whether or not a pope can be deposed.
How many bishops are necessary for this Collegial infallibility to be ensured?
Whether the Virgin Mary died and then was assumed or whether she was assumed before death
Whether Roman Catholicism promoted slavery

Partial List Of Implicitly Sanctioned Divergent Beliefs Between Catholics outside official teachings. (not including sedevacantists)
Partial List Of Divergent Beliefs Between Roman Catholics and Eastern Orthodox