I will never understood why you guys like that movie...yuck.
What Italy really is
The Godfather is only partly about Italy, but it's mainly about America. It's been 50 years, so perhaps it hasn't aged well - and it's also so well-known and woven into the culture, as it's been parodied and quoted so many times.
Most films I've seen about Italy tend to be set during World War 2. I've never been there, although I've known quite a few people who have. They say the drivers are kind of crazy over there.