The basic itinerary:
5 nights in Rome
3 nights in Naples
2 nights in Venice
We may take a day trip out of Rome depending on whether we feel we can spare a day from Rome itself. Naples is mostly a center of operations for day trips to Pompeii, Paestum, and possibly the islands (I'm thinking Capri).
Since we only have ten days there, I'm going to be doing a fair bit of planning ahead of time to make sure we don't miss anything really amazing. So, if any of you can suggest anything really amazing, or, on the other hand, something that most people go see that isn't so much worth it--or any other tips about traveling in Italy--comment away!
P.S. For those who are playing, I've added clues for the few unsolved movie quotes.