Every Tuesday night until July 24, 2012 prepare your appetite for Papa John’s Tuesday Unli Pizza! I went with some friends last week and even though we waited for hours, it was worth it because I love their pizza. The unli pizza comes with Papa John’s famous garlic butter dipping sauce. YUM! There are four flavors to choose from during the deal: Pepperoni, Hawaiian, Garden Special and the featured pizza for the week. This promo is available in all Papa John’s branches.