I strongly suggest your youth minister fully view the movie first. As parents, we've gotten suckered in a few times by remembering "oh, that was a good movie," & watching it with our kids and having something bad in there that we didn't remember.
Karate Kid is a no-no. We watched it this weekend, in fact--I've never seen it, and DH hasn't seen it since he was a kid--and when the boy gets all mad at his sensei, his flood of bad language is terrible, including G*ddamnit. Not a great candidate for a church group.
I seem to remember a nude-shower scene in Apollo 13, or at least strong hints of what's happening--and to make it worse, I don't think the guy is with his wife. But I could be wrong; it's been a long time since I've seen it.
Sorry that all I can do so far is possibly nix two of the suggestions, but I will give it some more thought! Oh, wait--how about Mystery Science Theatre? We just saw one recently and there was some cornball filler, but the actual smart-aleck commentary on the 1950's-era movie had us all in stitches.
Will try to think of more.
If you're afraid of butter, use cream. ~~ Julia Child
As you cook, you enjoy omniscience about food that no amount of label reading can match. Having retaken control of the meal from the food scientists, you know exactly what is in it. (Unless you start w/cream of mushroom soup, in which case all bets are off.) To reclaim control over one's food, to take it back from industry & science, is no small thing; indeed, in our time, cooking from scratch qualifies as subversive. ~~ Michael Pollan