It looks like I'm in the minority and didn't go international (or to Disney). I didn't want to have to remember my passport on my wedding day or possibly lose my luggage.
We went to Asheville, NC and stayed at the Grove Park Inn (a drive-able distance from Atlanta). It was amazing - the Inn has plenty to do if you want, like a world-class spa, fabulous restaurants, golf, games in the great room, etc. Then Asheville has the Biltmore Estate & winery, fun shopping, hiking, and more. We did a lot of those things and also just ordered movies and room service a lot.

I cried when we left because I didn't want to leave!
We recently went on Royal Caribbean cruise to the Southern Caribbean, and it was incredibly relaxing once you were all checked in and your luggage arrived. But I don't think I'd want to share dining tables and tolerate teenage partiers on my honeymoon.