Off the top of my head without putting much thought into it. Dagostinos as thats my all time favorite and imo you need to go to the original by Wrigley. The other locations are okay and we go to them, but not as good. (its a sweet sauce though and I thought you weren't a fan of that). Petes on Western, LaVilla on Pulaski, Vito and Nicks (although its been a while), and Sanos on Lawrence and Elston.
Not an argument I'm going to partake in either. But those are "thin crust" as thats what anyone and everyone I know that grew up in the city calls it. Tavern Style bullshit or whatever people call it is some made up BS probably via social media or some moron food critic. When someone says Tavern Style, I think of bar pizzas that were nothing more than a frozen pizza cooked in a bar top pizza oven in the 80's and 90's. We ate plenty of those as we spent many long nights in bars with my dad and uncles.