In a large shallow dish, whisk milk and eggs together until smooth.
Add vanilla and sugar, stirring to combine.
Stir in flour, cinnamon and nutmeg, mixing to combine all ingredients to create a smooth batter.
In a large frying pan or shallow pan, heat 1-2 inches of vegetable oil to 350℉.
When the oil is hot, dip one bread 'stick' into the batter, turning to coat.
Drop bread stick into the hot oil.
Repeat with 2-3 pieces of bread.
Fry battered bread for 3 minutes per side, or until golden on all sides.
Remove from oil and place on a wire rack over a baking sheet to cool slightly before serving.
Repeat with the remaining pieces of bread.