The city of Venice needs no introduction, because it is one of the best known and beloved tourist cities in the world. Major attractions are the Gondolas, the many Bridges and St. Marc´s Square. Once a year there is also the traditional Carnival with beautiful masks and dresses. A few times per year there could be flooding...
There are very few cities in the world with as much history, historical buildings and artifacts as Rome. A great example is the Colosseum... But Rome is not just history, it is also the political capital of Italy and offers great eating places and places to watch-the-world-go-by.
Milan is the "capital" of Northern Italy and a very influential city when it comes to economy, fashion or music. A highlight could be a visit to the Scala, if you can get tickets,
Alberobello is a small town near Bari in southern Italy. It is famous for its unique trullo buildings.
The Amalfi Coast is very picturesque and lies on a steep southern shore of the Sorrentino peninsula.
Bolzano is the capital city of the province of South Tyrol and by far the largest city in this Italian region. This major city is close to the very picturesque Dolomites mountains.
Palermo is the capital of Sicily, the large island in the South. The people call themselves Sicilians rather than Italians. Palermo is known for the large cathedral, Sicily is known for wine, olives and ... the Mafia (~movie The Godfather).
Siena is an old city with a magnificent square. Once a year horses have a race around it. Movies (like James Bond) are frequently recorded here. As in many Italian cities there is superb ice cream here!