Here are some traditional Korean dishes that include soybean sprouts:
Kongnamul Muchim: This is a seasoned soybean sprout side dish. It's made by boiling the sprouts and mixing them with garlic, hot pepper flakes, green onion, fish sauce, sesame seeds, and sesame oil. Recipe on Maangchi.
Kongnamul Bap: A rice bowl dish that includes soybean sprouts, often complemented with kimchi and meat. Recipe on Korean Bapsang.
Here are some images of these dishes: