Food Network offers a very simple and highly rated recipe for yeast-free beer bread. Alternatively, try Allrecipes.com's more time consuming but well-reviewed no-knead beer bread.
To make Food Network's beer bread, preheat the oven to 375 F and butter a loaf pan. Combine 3 cups of self-rising flour, 1/2 a cup of sugar and 12 ounces of beer in a large bowl and mix well. Transfer the sticky mixture to the loaf pan bake for 55 minutes. After 52 minutes, remove the pan from the oven, and brush the loaf with 2 tablespoons of melted butter. Return to the oven to finish baking.
For Allrecipes.com's no-knead beer bread, combine 1 1/2 teaspoons of active dry yeast, 1/2 a cup of all-purpose flour and 1/2 cup of warm water in a large bowl. Cover and leave in a warm place for about 30 minutes. Add 12 ounces of beer, 4 cups of all-purpose flour and 1 1/2 teaspoons of fine salt to the bowl, and mix in until all the flour is combined and the dough is thick, sticky and pulling away from the sides of the bowl. Cover and leave to rise in a warm spot until doubled in size.
Tip dough onto a well-floured surface, sprinkle generously with flour, and form into a loaf. Place loaf on a cornmeal-covered baking sheet, sprinkle top with flour, cover with a towel and let it rise for 30 to 40 minutes. Slash the top of loaf, and bake at 425 F for 35 minutes or until golden brown.