The modern Church continues to offer guidance to the faithful, but in a positive way (instead of prohibiting certain books, She rather endorses them):
Can. 827 §1. To be published, catechisms and other writings pertaining to catechetical instruction or their translations require the approval of the local ordinary, without prejudice to the prescript of ⇒ can. 775, §2.
§2. Books which regard questions pertaining to sacred scripture, theology, canon law, ecclesiastical history, and religious or moral disciplines cannot be used as texts on which instruction is based in elementary, middle, or higher schools unless they have been published with the approval of competent ecclesiastical authority or have been approved by it subsequently.
§3. It is recommended that books dealing with the matters mentioned in §2, although not used as texts in instruction, as well as writings which especially concern religion or good morals are submitted to the judgment of the local ordinary.
§4. Books or other writings dealing with questions of religion or morals cannot be exhibited, sold, or distributed in churches or oratories unless they have been published with the permission of competent ecclesiastical authority or approved by it subsequently.
The modern Church, at least for English-speakers, has also presented a Film Index.
Prior to 2011, the US Bishops (USCCB) offered reviews from a Catholic moral perspective on an astonishing range of films. This role is currently being filled by the Catholic News Service. I took a look at their review for Schindler’s List (1993), and it was rated A-3 (adult), which is comparable to the MPAA rating, R.
Like the original Index, these are guidelines, not actual prohibitions (the original Index was only enforceable within the Papal States).