Alright, alright, I gotta put in my 2 cents here, as I'm a lifelong Chicago resident, and also grew up in the home-suburb of one of Chicago's finest Pizzarias (which hasn't been mentioned yet).
Aurelio's Pizza
It hasn't been mentioned yet, predominantly because I think it's one of those places that is ever so much more a locals thing, than a tourist thing, but it's FANTASTIC. Try their "Super Six" pizza which I believe is a mix of Sausage, Pepperoni, Onions, Mushrooms, Green Peppers, & Ham. Truly must be experienced.
They
do have a "downtown" location, over at the Holiday Inn across from the main post office over at Canal & Harrison, but it's not the most atmospheric place, to say the least.
Their main location, and a really wonderful Pizzaria, is located in the lovely South Suburb of Homewood (where I grew up). Take a drive down the Ryan and I-57 to Homewood and check it out!
-A