1. In a large bowl, sift together sugar, salt (about 1/3 teaspoon) and flour. Add olive oil and vodka. Add water to the flour mixture (a small amount at a time) mixing it and kneading dough until it's even, soft and doesn't stick to your hands. Add a little more flour if the dough is sticky, or water if it's stiff. Place the dough aside and prepare the filling.
2. In a separate bowl, mix together ground beef, finely chopped onion and parsley. Season the mixture with salt and pepper and stir in milk.
3. On a lightly floured surface, roll the dough until it is about 1/10-1/8 inch (2.5-3mm) thick. Cut circles using a small tea plate. Gather the rest of the dough into a ball and roll again. Repeat until you used all the dough.
4. Place about 2 tablespoons of the filling on one side of the circle, leaving 1/2 inch (about 1cm) space at the edges.
5. Fold the other half of the circle over and pinch the edges firmly together using your fingers.
6. Make sure there is no air inside chebureki and the edges are closed tightly.
7. In a large skillet, heat the oil for deep frying (it should cover about 1/2 of a cheburek), reduce heat to medium and place 3 or 4 chebureki into oil (depending on the size of your skillet). Fry chebureki on both sides until nicely and evenly brown (about 5 minutes per each side).
8. Drain on paper towels, let rest for a few minutes. Serve while still hot.