In a bid to raise cash and keep the peace in crowded jails, wardens nationwide are offering inmates the chance to order meatball subs, cheeseburgers, chicken parmesan—even a "Pizza and Wings Party Pack," complete with celery, blue cheese and a Pepsi.

The program goes beyond the old-fashioned prison commissary, with its cup-a-soups and bags of chips, and it can be quite lucrative for corrections departments.

"We...