Rome can be a pretty expensive destination, but it's possible to visit, even honeymoon, on a budget. Many of the major attractions like the Colosseum and other sites from antiquity are either free or very inexpensive. Dining, shopping, and even transportation can be had on the cheap too. Many budget hotels such as Hotel Saturnia, are not far from the city center. Even some entertainment options like 3D Rewind, are not so budget exclusive. Rome for the newlyweds can be fun and cheap too.