JoongAng Daily published a list of Korean hangover cure soups from all over South Korea. To help you make these yourself, I complied YouTube how-to videos on all the recipes mentioned in the article. The JoongAng recipes are only loose approximations of the ingredients — no portions or times.
Jeonju bean sprout soup by Maangchi
Sokcho dried pollack soup, a.k.a. bukeoguk (북어국), by Powerplanttop
Busan pork soup, or dwejigukbap (돼지국밥)
I didn't find a recipe posted on YouTube for this recipe. But I did find several versions of Spicy Pork Rib Soup, which is a very spicy version of the Busan Pork Soup recipe.
Spicy Pork Rib Soup (감자탕) by Crazy Korean Cooking.
Blood sausage soup, or byouncheonsoondeguk (병천순대국), by RainbowSB
OK, this one is not a recipe as much as it is a two-minute commercial (CF) singing the praises of the sausage.
I could not find video recipes for snail soup, or olgaengi haejang guk (올갱이해장국), or Seoul blood soup, Seoul seonjitguk (선짓국). Yet I think testing out the recipes I found in your own kitchen will adequately acquaint you with Korean hangover remedies.