Preheat oven to 350 degrees F. Grease a 9x5-inch loaf pan; set aside.
In a large bowl, whisk together both flours, the sugar, baking powder and salt. Add the beer and honey and stir with a rubber spatula until thoroughly combined.
Spread the batter evenly in the prepared loaf pan and drizzle the melted butter evenly over the top of the batter. Bake until the loaf is golden brown and a thin knife inserted into the center comes out clean, about 50 to 60 minutes. Allow to cool to room temperature before slicing. Leftovers should be wrapped tightly in plastic wrap and stored at room temperature for up to 3 days.
While it is best to use bread flour if you have it, you may substitute all-purpose flour in its place.
I would recommend using your favorite ale or lager-style beer for this recipe. Use one you enjoy drinking, as some of the flavor does come through in the bread.
For a higher loaf, use an 8x4-inch loaf pan and increase the baking time accordingly.