I agree that "Therese" was lacking in depth and strong depiction of Catholicism. Not showing the family attending Mass was a serious error. Also, I don't know about such things, but the interior of the Carmelite monastery didn't seem appropriate to the time and place to me. Am I incorrect in this perception?
The other thing that bothered me was that the same actress, a young woman in her early 20's, was used to depict St. Therese as a child of about 11, as well as through her teens, until her death. It was really hard to believe that the woman was a child during those scenes.
"Bernadette" was fairly good. The musical score, like many of that era, was exceedingly bombastic at points and annoying. The scene crossing the river, as another poster mentioned, has the girls, and St. Bernadette, hiking their skirts up much farther than necessary, the water barely above the ankles, if I remember correctly.
I also like "Going My Way" and "The Bells of St. Mary's" .. However, Bing Crosby's priest being the younger "with it" type, who's there to move the ol' fuddy duddy priest along, as times have changed, and all, was somewhat unfortunate, although obviously accurate with what came later.
"The Fighting Sullivans" is very good .. I don't think anything objectionable, unless you have an objection to WWII... Pat O'Brien played a great priest in several films. "The Fighting 69th" also pretty good for that reason. Overblown patriotic fervor notwithstanding.