Being a recovering former Flatlander I was well familiar with Rosati's before I moved to Madison. Having gone to several of them around Chicago I've found there to be a lot of variation from individual restaurant in the chain. I just wanted to make that clear so I identified that it was this specific Rosati's I was talking about.
Anyhow! I've ordered pizza from them a half a dozen times in a couple of years and have dined in once. They are my Go-To for "as-near-to-real-Chicago-style-as-I-can-get" pizza in Madison and they do it well. The crust is perfectly crisped, the cheese thick as it should be, and the toppings generous. They have a well seasoned sausage that I just love. I will note that when I order from them I *do* ask for less sauce on top as they have occasionally gone wild with it (and sauce gone wild just is nothing anyone should have to deal with).
Anyhow -- I've had other things from them as well and I have to say their pasta has not wowed me but it is pretty good. Their biggest weakness seems to be their sauce; It just needs more flavor or at least a stronger flavor.
For the bread lover you'll want to hit up the Nuggets but don't do it alone. If you think these are a side order for one person you will find yourself awash in a tide of deliciously fried, lightly sauced goodness that your heart may not recover from.
The service when I had dined in was good; I didn't go long without a refill and they checked in often enough that we knew they were watching but not so often that it was obnoxious. There was a little delay before we ordered but that can happen when it gets busy so I am not about to begrudge them that.
Their Chicago-style really is the closest to downtown Chicago I've had since I've been up here and that alone will keep me coming back indefinitely... or at least until Gino's or Giordano's crawl their way up I-90.