Soak dried mushrooms in boiling water for about 30 minutes.
Remove mushrooms, chop and set aside.
Strain soaking liquid. Discard solids and reserve 1 cup soaking liquid.
Sauté beef on all sides or until browned. Add onion, ginger, and garlic. Fry couple of minutes. Stir in reserved soaking liquid, 2 cups broth, brown sugar, soy sauce, sake, Sichuan pepper, star anise, clove, dried chilies and cinnamon stick.
Cover, reduce heat, and simmer 1 hour. Stir in mushrooms.
Cover and simmer 40 minutes or until beef is tender.
Remove beef mixture with a slotted spoon. Discard star anise, cloves, dried chilies, and cinnamon stick.
Bring remaining liquid to a boil, cook until reduced to 1 cup.
Serve sprinkled with green onions and sesame oil over rice with sauce.