Since the CC's stance on artificial birth control is one of its most recognizable stances to many people, I wanted to comment on it.
I've known people who are active with the Couple to Couple League - Catholic Natural Family Planning organization. There are dioceses in my area whose bishops and priests absolutely refuse to allow any NFP literature to be put in parish literature racks. These bishops and priests also downright refuse to meet with the CCL people and refuse to allow NFP classes to be held at parishes.
Then there's the local cardinal archbishop who while he gives public lip service to the CC's stance on ABC and that couples to use NFP, he will do absolutely nothing to the priests who refuse to have themselves or their parishes associated with NFP in any way (no literature, classes, speakers). One woman tried to have a table at parish ministry fair, to hand out literature and answer questions. The priest told her it would not happen as long as he was there and to not bother to ask again.
Multiple Catholic friends across the US have told me that they are told in their pre-Cana (marriage prep) classes that yes, the CC only approves of NFP, but "you don't have to bother with that and you can use ABC if you want." This is by Church-approved teachers AND priests.