At its core, jambalaya is a one-pot rice dish usually made with smoked sausage, onion, celery, green peppers, and Creole seasonings. But depending on which Southern cook you ask, it might also include tomatoes, a roux, and an array of proteins—including chicken, smoked ham or turkey, fresh oysters or shrimp, or different kinds of sausage. This chicken and sausage jambalaya recipe calls for the classic combination of chicken thighs and smoked sausage. When simmered with the rice, vegetables...