Chicago tavern style (or really any of the tavern style pizzas I’ve had) aren’t bready, they are almost to cracker.
There is a place near Midway called Palermo’s that I like.
Italian Fiesta is probably my favorite but the service is atrocious.
I don’t know even if the spots I picked are standouts. They just are the ones near where I am when it’s appropriate to eat pizza.
Unlike say Chicago bbq a topic on which I have opinions.