Warm the milk in a small saucepan over low heat until it is warm to the touch; do not boil. Remove from heat and whisk in the melted butter and sugar. Allow it to cool to lukewarm.
In a mixing bowl, combine the warm milk mixture with the yeast and let it sit for about 5 minutes until frothy.
In another bowl, whisk together the flour and salt. Add the yeast mixture, eggs, and vanilla to the flour. Stir to combine until a dough forms.
Transfer the dough onto a floured surface and knead for about 5-7 minutes until smooth and elastic. Place the dough in a lightly greased bowl, cover with a towel, and let it rise in a warm place for about 1 hour, or until doubled in size.
Preheat the oven to 350°F (175°C) and line a baking sheet with parchment paper.
After the dough has risen, punch it down gently. Divide it into 12 equal pieces. Shape each piece into a round ball and then pinch one end to create the bunny's head and the other end for the body.
Using a sharp knife, create cuts on the bunny's head for ears, and place a raisin in each for the eyes.
Place the shaped buns on the prepared baking sheet. Cover and let them rise for another 30 minutes.
In a small bowl, whisk the remaining egg for the egg wash. Gently brush the tops of the buns with the egg wash.
Bake in the preheated oven for 20 minutes or until golden brown. Transfer to a wire rack to cool.