Curry Chicken and Broccoli Stuffed Shells is the perfect weeknight meal for your family. It's such a classic recipe. You've probably tried a version of this dish before. It was likely called Chicken Divan, or maybe Broccoli Chicken Curry Casserole or some variation of that and served over rice. With this version, however, I've upped the comfort factor and stuffed all this curry goodness right inside a pasta shell.