Not only can Catholics not provide a list of infallible teachings, they appear to not always be sure if a particular teaching is infallible or not. One such example is the debate a few years back over JPII's apostolic letter Ordinatio Sacerdotalis:
Ordinatio Sacerdotalis (Latin for On Ordination to the Priesthood) is a Roman Catholic document discussing the Roman Catholic Church's position requiring "the reservation of priestly ordination to men alone." This Apostolic Letter was issued from the Vatican by Pope John Paul II on 22 May 1994....Ordinatio Sacerdotalis was not issued under the extraordinary papal magisterium as an ex cathedra statement, and so is not considered infallible in itself. There is, however, a case for its contents to be infallible under the ordinary magisterium, as this doctrine has been held consistently by the Church. In a responsum ad dubium dated October 1995, the Congregation for the Doctrine of the Faith stated that the teaching of Ordinatio Sacerdotalis was to be held definitively, as belonging to the deposit of faith. In 1998, this was clarified slightly (in the Congregation for the Doctrine of the Faith's Doctrinal Commentary on Ad Tuendam Fidem) to state that the teaching of Ordinatio Sacerdotalis was not taught as being divinely revealed, although it might someday be so taught in the future... Wikipedia
Since the issuance of the apostolic letter, however, reactions from some quarters have served to cast doubt on the definitive character of the papal teaching. The nature of this dubium concerned the question whether or not the teaching set forth in the letter belonged to the deposit of faith (depositum fidei). Conceivably, some warrant for the doubt may be found in the Pope's letter itself. Catholic.net
So if a Roman Catholic cannot identify all of the infallible teachings of the Roman Catholic Church, and at times is not sure whether a given doctrine is infallible or not, where is the certainty that an infallible authority is suppose to provide?