Preheat your oven to 400°F. Line 2 baking sheets with parchment paper.
Sift the self-rising flour into a large bowl and set aside.
In a separate bowl, whisk together the eggs, sugar, melted butter, milk, and vanilla extract until completely smooth.
Pour the wet ingredients into the flour. Stir just until combined. Do not overmix - the dough will be sticky and that is exactly right.
To shape: lightly flour your hands, pinch off a golf ball-sized piece of dough, roll it gently between your palms, place it on the baking sheet, and press down gently with your fingertips. Alternatively, turn dough onto a lightly floured surface, roll to ½-inch thickness, and cut into rounds.
Bake for 7–9 minutes, until the edges are golden brown and the tops are set.
Allow to cool on the pan for a few minutes, then transfer to a wire rack.