Prepare the stock: Boil two dried shiitake mushrooms, eight large dried anchovies (heads and guts removed), and a piece of dried kelp in water over medium-high heat for 25 minutes.
Prepare noodles and seasoning paste: Soak dangmyeon noodles in cold water. Mix garlic, hot pepper paste, hot pepper flakes, sugar, soy sauce, and water to make the seasoning paste.
Cook pork: Add pork belly to the boiling stock and cook for an additional 10 minutes.
Assemble the stew: In a shallow pot, combine stock, prepared pork, mushrooms, kimchi, cabbage, onion, Polish sausage, Spam, tofu, cheese, rice cakes, beans, ramyeon noodles, and soaked dangmyeon noodles.
Final touches: Add radish sprouts on top. Cook until all ingredients are well combined and the stew is hot throughout.