UY is fine for beginners, and the first UY movie, “Only You” is very approachable for most audiences.
UY movie 2, “Beautiful Dreamer,” on the other hand, is NOT for noobs. It is a very… oriental movie, where the plot is all about character resolution, not situation resolution. So… most noobs (and more than a few other than noobs) watch it and then attack the person who showed it to 'em because “Nothing happened, nothing changed, and this was supposed to be good?”
I’d second the comments about Excel Saga and FLCL as being not for noobs. Nor would I say that Evangelion is for noobs, either.
“Grave of the Fireflies” is, as Bosda says, great for shutting up those noobs who think cartoons have to be for kids. Of course, it’s not exactly a movie I want to see again, so it rarely shows up on my player. Nor, to quote a favorite character from a book, am I into “conversion therapy.”
On a more serious note: while I love the movies, “Whisper of the Heart” isn’t for noobs, nor is “Only Yesterday.” Both are excellent films, but much of the dramatic tension only works if the viewer is familiar with modern Japanese culture.
I’d also suggest that TV series aren’t the best way to introduce noobs. Most (not all, by any means) anime series are sequential, and not episodic - so there’s a plot that goes through the whole series, and that is rather rare in the US market today. It’s another hurdle for many noobs.
As for “Ninja Scroll,” for a while it was the film used to introduce noobs to anime. I’m not disagreeing with the reasons put forward here - but in spite of that, it’s still a very fast-moving film, with excellent production values, and shows just how far from kid’s movies animation can be without being the complete bummer GotF is.