Preheat the oven to 350°F. Line two baking sheets with parchment paper.
In a large mixing bowl, whisk together the melted butter, brown sugar, and granulated sugar until smooth and glossy.
Add the egg and vanilla extract and whisk until fully combined.
Stir in the flour, cornstarch, baking soda, and salt until just combined. Do not overmix.
Fold in the chopped Butterfinger pieces and mini chocolate chips.
Chill the dough for 15 minutes.
Scoop 1½ tablespoon portions onto prepared baking sheets, spacing them about 3 inches apart.
Slightly flatten each dough ball and press a few extra candy pieces on top if desired.
Bake for 11–12 minutes or until the edges are deep golden brown and the centers are just set.
Let the cookies cool on the baking sheet for 8–10 minutes before transferring to a wire rack. The cookies become crispier as they cool.