These are a fair bit of work and take a long time. They are more than worth it.
1½ cups pear or apple juice
1 cup sake
1 cup mirin
½ cup sugar
1 cup soy sauce
Salt and freshly ground black pepper
2 tablespoons chopped garlic
10 cloves crushed garlic
1 tablespoon sesame oil
2 tablespoons neutral oil, like corn or grapeseed
4 to 5 pounds short ribs
2 large onions, peeled and roughly chopped
1 pound carrots, peeled and cut into chunks
2 tablespoons butter
8 to 12 small potatoes, preferably fingerlings, trimmed
½ cup chopped scallions
4 cups cooked white rice.
1. Preheat oven to 350 degrees. In a saucepan, combine juice, sake, mirin, sugar, soy sauce, about 20 grinds of pepper, both forms of garlic, sesame oil and 1½ cups water. Bring to a boil, then simmer.
2. Put corn or grapeseed oil in a large ovenproof braising pan or skillet over medium-high heat and add ribs, seasoning them liberally with salt and pepper. Brown well on one side, moving them around to promote even browning. Turn, add onions and half the carrots, and brown other side, stirring vegetables occasionally.
3. Carefully pour braising liquid over meat and bake, bone-side up and submerged in liquid (add water or juice if necessary), for 3 to 4 hours, until meat falls from bones. Cool ribs in liquid for 1 hour, then remove; strain liquid. At this point, ribs and liquid can be covered and refrigerated overnight.
4. Remove bones from ribs. In a pot, combine meat with braising liquid; heat to a boil then simmer, reducing liquid until syrupy. If it seems too thick, thin with a bit of water.
5. About ½ hour before you are ready to serve, put butter in a skillet and add potatoes and remaining carrots. Cook, stirring occasionally and seasoning with salt and pepper, until browned and nearly tender, about 20 minutes. Add to meat. Taste mixture and adjust seasonings if necessary, then garnish with scallions and serve on rice.