What is the following called. Cook browned bread crumbs and cheese?

That sounds like a bread crumb crust or bread crumb topping. It's a common element in many dishes, such as:

* Baked mac and cheese: Toasted breadcrumbs and cheese create a crispy, flavorful topping.

* Chicken Parmesan: Bread crumbs, often mixed with cheese, are used as a crunchy coating for chicken.

* Shepherd's pie: Bread crumbs mixed with cheese are a traditional topping for shepherd's pie.

* Lasagna: Some lasagna recipes use a layer of bread crumbs mixed with cheese for a crunchy, cheesy topping.

The exact name might vary depending on the specific recipe and application.