OK, after breakfast being the most important part of your eating in Italy comes Gelato. Truly, you only need to survive on gelato in Italy. There's nothing like it anywhere else in the world. It's ice cream, only better. There's a variety of flavors that you aren't likely to find even at Baskin Robbins.
I have to say it's very advised to find a hotel when you travel that includes breakfast, especially in foreign countries that don't often concentrate on breakfast as a meal. My parents skipped the hotel breakfast one day to go out with some friends. It cost €24 (about $36) for four Danish and two coffees.