Well, just noticed this, but whatever. Oriental is definitely on the way out, it's usage used to be much more widespread than it is now. The word's definitely very old-fashioned and used far less than it used to be, and of course, people do consider it to be offensive. It might not be used expressly as an insult, but that doesn't mean it's not offensive.
Never heard of Asiatic used, so I don't know. Don't think so, I guess, but I've no idea, I'd have to look at its history, how its perceived now and all that jazz.