This one pretty smashes the ego of those who like to talk down about the Catholic Church and religion in general.
Because when belief in God is absent, people most likely become idolaters (broad definition of idolater: the person whose no1 priority in life is anything, except God) and one of the most common forms of idolatry today is the idolatry of science and knowledge.
When you show them that the object of their idolatry is directly connected to the history of the Catholic Church in a good way, they pretty much freak out.
School people about the origin of the universities (Paris, Oxford, Cambridge, Salamanca, Coimbra, etc, started as monastic schools around 800 years ago, in Europe, under the authority of the Church and nowhere else in the world).
Then you can go on to demonstrate that all the biggest breakthroughs in modern science (including the theory of Big Bang) were made by priests or people working for the Church. Ex: Georges Lamaitre, priest, father of the Big Bang. Copernicus, priest, father of heliocentric theory. Gregor Mendel, priest, father of genetics, and so on.
And then point them to the Vatican academy of sciences, whose members won more than 40 Nobel Prizes together, and you pretty much have one of the most solid arguments to prove that no other institution in the world has contributed more to the development of the western civilization than the Catholic Church.