Prepare Tangzhong: In a small saucepan, mix together equal parts flour and water, and cook over medium heat, stirring continuously until thick.

Mix Dough: In a bowl, combine flour, sugar, yeast, and salt. Add butter, eggs, milk, and cooled tangzhong, then mix until a dough forms.

Knead the Dough: Transfer to a floured surface and knead for about 10 minutes until smooth and elastic.

First Rise: Place in a greased bowl, cover, and let rise in a warm area for about 1 hour until doubled.

Shape Buns: Punch down the dough, divide into portions, shape into buns, and place on a parchment-lined baking sheet.

Second Rise: Cover the buns and let them rise for 30-45 minutes until puffy.

Bake: Preheat your oven to 375°F and bake the buns for approximately 20 minutes until golden brown.

Cool and Serve: Let cool on a rack for at least 10 minutes before serving. Drizzle with honey if desired.