Ha ha ha! I've been reading the wiki article for the remake, as I am wont to do. The article lists about 10 major differences between the remake and the original, but when it comes to similarities:

* In both movies, when Edward arrives in Sister Rose's classroom, and asks the whereabouts of Rowan, she responds with the same line: "If she existed, we would know of her."
* In the end of both movies, all of the islanders wear all kinds of costumes and masks for their festivities.

That's it! Oh, subtly snarky Wikipedia...