Too many to count.
Wrong, actually. The answer is two. I'm sure everyone here including you can count that high.
Catholic theologians agree that both Pope Pius IX's 1854 definition of the dogma of the Immaculate Conception of Mary and Pope Pius XII's 1950 definition of the dogma of the Assumption of Mary are instances of papal infallibility, a fact confirmed by the Church's magisterium. However, theologians disagree about what other documents qualify.
Everything other than those two statements is in dispute.
So there's why you can't convince anyone of Catholicism via the doctrine of papal infallibility. Because if anyone looked through statements made by popes, and found a contradiction, you could say 'well, that one isn't infallible', and you'd have theologians agreeing that of course
that one isn't.
Forgive me for not being impressed that the Catholic Church has managed to make two whole statements without obviously contradicting themselves. I guess it's better than one, at least.