Preheat oven to 375°F (190°C). Grease an 8x8-inch baking pan or line a muffin tin.
In a large bowl, whisk together flour, cornmeal, sugar, baking powder, and salt.
In a separate bowl, whisk milk, melted butter, eggs, and honey until smooth.
Pour wet ingredients into the dry and stir gently just until combined. Do not overmix.
Transfer the batter to the prepared pan (or fill muffin cups two-thirds full).
Bake 20–25 minutes for a pan, or 15–18 minutes for muffins, until golden and a toothpick comes out clean.
Cool 5–10 minutes, slice, and serve warm with butter and honey.