One popular recipe for German-style red cabbage is Dad's red cabbage recipe by Robin Miller of The Food Network. The dish can be made in one saucepan and has received numerous positive reviews from home cooks who have tried it.
To make Dad's red cabbage, heat 2 tablespoons of olive oil in a large saucepan over medium heat. Add 1 cup of chopped onion and two cored, thinly sliced apples. Granny Smith apples work well for this recipe. Saute these ingredients for 3 to 4 minutes, or until they are tender. Add two 10-ounce bags of shredded red cabbage, 1 cup of dry red wine, 1 cup of water, 1/2 cup of red wine vinegar and 1/2 cup of brown sugar. Then add 1 teaspoon of cinnamon, 1/2 teaspoon of salt and 1/4 teaspoon of ground black pepper.
Bring the mixture to a boil, and then reduce the heat and simmer partially covered for one hour. Stir the mixture occasionally during the hour. Add one small peeled and grated potato and simmer uncovered for 30 minutes, stirring occasionally, until the mixture has thickened and the potato is tender. Instead of bagged cabbage, one head of shredded cabbage can be used. Reviewers gave this recipe high marks, and most said they would make it again. One commenter suggested adding bacon drippings for additional flavor, while another person said the recipe came out flavorful enough on its own.