Do not confuse a romance with a love story. A romance is a story about lovers that has a happy ending. A love story is a story about lovers that could end in any way, but it often ends with one of them dying.
I love the Walter Lord book A Night to Remember, which is a nonfiction account of the Titanic. There's also a rather good movie that was made from that book.
The James Cameron movie is about two completely invented characters, something I never understood, since there are so many stories of real people who were on the ship. Not to mention how completely unbelievable the couple's relationship is as well as what happens to them. I guess you can tell I don't like that movie at all!