In a large mixing bowl, combine the eggs, flour, sugar, nutmeg, vanilla, salt and orange zest. Stir using a wooden spoon to form a sticky dough, then form the dough into a ball and knead for a few minutes. When the dough comes together, cut it into 4 pieces and roll each into a thin rope about 1/2-inch thick. Cut each rope into 1/2-inch pieces, then roll each piece into a ball.
Heat oil over medium heat until a deep-frying thermometer reaches 375F. Gently drop the dough into the oil. Once the bottom sides of the tough are golden brown, flip them with a slotted spoon or spider so that they browns evenly on all sites. When they are evenly golden brown, remove the fritters from the oil and transfer to a plate lined with paper towels.
Meanwhile, heat the honey in a saucepan over medium for about five minutes until it is the consistency of syrup. Transfer fried dough from the paper towels to a medium bowl and pour the warm honey over the top. Toss to coat, then shake with sprinkles and enjoy.