In a double boiler or microwave-safe bowl, gently melt 1 1/2 sticks of butter with 4 ounces of chopped unsweetened chocolate. Stir frequently until smooth and fully combined. Set aside to cool slightly.
In a large bowl, whisk together 4 large eggs, 1 3/4 cups sugar, and 1 1/2 teaspoons vanilla extract until the mixture is thick and pale. Gradually add the melted chocolate mixture, stirring well to combine.
Sift in 3/4 cup all-purpose flour and gently fold it into the wet mixture using a rubber spatula. Be careful not to overmix, just fold until no streaks of flour remain.
Stir in 1 cup semi-sweet chocolate chips evenly throughout the batter. This will give your brownies those delightful pockets of melted chocolate in every bite.
Pour the batter into a greased 9x13 inch baking pan, spreading it evenly with a spatula. Bake in a preheated oven at 350°F (175°C) for 25-30 minutes or until a toothpick inserted near the center comes out with a few moist crumbs. Avoid overbaking to keep the brownies fudgy.
While the brownies cool, beat 1/2 cup softened butter with 4 cups powdered sugar until fluffy. Add 3 tablespoons green creme de menthe and 3 tablespoons half-and-half, beating until smooth and spreadable. If the frosting is too thick, add the remaining tablespoon of half-and-half.
Once the brownies are completely cool, spread the creme de menthe-chocolate chip frosting evenly over the top with an offset spatula. Sprinkle 1/2 cup mini chocolate chips over the frosting for added texture and visual appeal.
Cut the brownies into squares and serve. These brownies are perfect for sharing or enjoying as an indulgent treat anytime.