I’m not entirely certain what you are looking for, but most companies with a philanthropic, social, or religious focus are 501c3 and not publicly traded for profit companies.
Publicly traded companies are owned by the shareholders-- the public-- and therefore not typically Catholic or Christian focused.
Companies that are focused specifically on Christian or family values are more likely to be closely held corporations-- private or family-- such as Hobby Lobby, Chick-fil-a, etc.
I believe that most ethical investing companies look for *absence *of specific problematic operations and practices, not the *presence *of a Catholic-specific agenda.
Our diocese has all its investments in funds that specifically avoid those practices opposed to Catholic teaching, but of course they’ve negotiated that with the investment firm as a contractual obligation to avoid: abortion, fetal tissue and embryonic stem cell research, euthanasia, cloning, and vices such as gambling, pornography, etc.
You’ve gotten good advice to look at Ave Maria’s SEC filings, that may be the best you can do.