The fault of that does not necessarily rest on the anime but on the person viewing it. Some anime may have images that maybe considered ‘immoral’ at first glance but many people make the mistake of not looking deeper into the image’s context. Take for example, the image you cited about about a boy and girl lying on the same bed. Now to the mind of someone still sexually immature, of course that could send the wrong messages. But to someone older like me, I see a scene portraying a typical romance between a boy and a girl (note: you didn’t specify if they were nude btw so I assume they weren’t). It really depends on the viewer’s interpretation. Many authors use things such as intense fights or draw somewhat highly intimate moments between characters to amplify the emotion in them.
Here’s one example, you see a very intense fight scene with wild explosions and two characters exchanging all manner of intense attacks, but when you realize why the characters are fighting (e.g. the two characters are actually best friends but one was slowly falling away to the side of evil) The drama kind of reduces the all the violence to the background.
Another example would be the passionate kissing scenes found in some romance manga. My mother practically shakes her head when she sees such scenes, but she doesn’t see that usually before such scenes, there was actually a very emotional and climactic moment in the story (e.g. a boy finally realizes his feelings for a certain girl and musters up the courage to confess/admit his feelings before its too late) This kiss simply becomes the cherry on top to end a nice love story.
Although there are indeed manga and anime that cross the line (
coughdoujin
coughhentai
cough) those are usually considered Restricted so either the grandkids of your priests were actually breaking some serious rules or it could be he was just overreacting (no offense

). I’ve often heard quite a few times about how some Japanese (Catholic or not) are complaining of ‘declining morality’ in their country. Your priest may have a point but then again, he could be just following a trend of thinking.