In large mixing bowl, or large bowl of standing mixer, whisk together eggs, sugar, oil & milk.
Stir in flour, baking powder, anise. Mix evenly.
Let dough chill in fridge until easy to shape into balls (about an hour.) Or, if you're not so picky about the tidiness of your cookies, skip this step.
When ready to bake, preheat oven to 325. Line baking sheets with parchment paper.
Scoop 1" balls of dough onto parchment (if dough is chilled, you can roll the dough in your hands to make smooth balls, and gently pat down). Leave plenty of space for cookies to grow.
Bake cookies for about 16 minutes, rotating after the first 8 minutes, until lightly brown on top and puffy. Let cool on a rack before frosting.