Preheat oven to 350 degrees.
In a small bowl, mix ground flax seed and water to create flax eggs. Set aside for 5 minutes, or until the consistency is similar to a regular egg.
In a large bowl, stir together the cornmeal, flour, sugar, baking powder, and salt.
Add the vegetable oil, melted dairy-free butter, honey, flax eggs, and almond milk to the bowl and stir until all dry ingredients are moistened. The batter will be a little lumpy, but try to get rid of any large clumps.
Line a 12-count muffin tin with cupcake liners, then spray liners lightly with non-stick cooking spray. Divide batter evenly between cupcake liners (they will be nearly full).
Bake for 20-25 minutes, or until toothpick inserted in the center comes out clean. Remove from oven, cool, and enjoy!