In Yakiniku Bugyou, you'll work over an in-table barbecue grill from a first-person view, with up to three hungry customers staring at you while you work. The goal of the game is to feed these customers their preferred cuts, cooked to their preferred doneness. Overcook/undercook their meat or send out soggy veggies and they'll let you know they didn't like it by yelling out something like "mazui," which means "gross" or "not good" in Japanese. Do them right and they'll blurt out a pleasured "oishi!" ("yummy!") instead.
During this service you're working against each customer's satisfaction meter. Feed them something they like and it will go up. Give 'em undercooked pork when they wanted charred beef and that meter will fall. Taking too long to serve food will also see that meter fall. Letting the meter fall too far will cause the customer to leave. You'll serve these customers in either the game's standard mode, which has several stages of increasingly picky eaters, or in the game's endless mode, which has diners constantly coming to fill the seats.
You'll man a grill that can cook twelve food items. A random indicator to the left of the grill shows the next two food items that are ready to be grilled. You're free to place them anywhere on the grill, but you'll have to be mindful of the grill's hot and cold spots. You'll also have to keep a close eye on the doneness of the meat, being sure to flip the meat just as it gets color and nice grill marks. Wait too long and you'll have a black, carbon-y piece of meat.