A cooking grill for improved cooking of pizzas and other foods includes a base portion, a cooking grate supported on the base portion, and a lid hingedly-attached to the base and movable between an open position and a closed position in which a substantially-enclosed cooking chamber is defined between the base portion/cooking grate and the lid. The lid is specially-configured to define a window therein, for admitting passage into the cooking chamber along an entrance pathway extending horizontally from the window. The lid is specially-configured so that the window remains open and unobstructed while the lid is in a closed position. A handle is joined to the lid in a position outside of the entrance pathway, so that it does not interfere with insertion of pizza/foods into, or removal of pizza/foods from, the cooking chamber while the lid remains in the closed position.