They usually don't have any good giveaways. They offer shirts, hats, and poster/calendars but overall they don't give anything spectacular.

They didn't give away anything to me when we were there. I heard sometimes they give out mini footballs or bears gear so keep on the lookout...

After the Bears grab a win, use the code "BEARS" when ordering online at any participating Papa John's. You'll get 50% off the entire order which is very good value in my opinion.