In a large mixing bowl, combine the warmed milk, granulated sugar, and yeast. Stir gently and let it sit for about 5-10 minutes until frothy.
Add the melted butter, eggs, and salt to the yeast mixture; whisk until combined.
Gradually add the flour, one cup at a time, mixing until a dough forms. Knead the dough on a floured surface for about 5-7 minutes until it becomes smooth and elastic.
Place the dough in a greased bowl, cover it with a damp cloth, and let it rise in a warm spot for about 1 hour, or until it doubles in size.
Punch down the dough and roll it out on a lightly floured surface into a rectangle about 16x24 inches.
Spread the softened butter over the dough, then sprinkle with the brown sugar and cinnamon mixture evenly across the surface.
Roll the dough tightly from the long edge to form a log. Cut the log into 12 equal rolls.
Place the rolls in a greased baking dish, cover with a cloth, and let them rise for another 30 minutes.
Preheat your oven to 350°F (175°C). Bake the rolls for 20-25 minutes, or until golden brown.
While the rolls are baking, prepare the vanilla glaze by whisking together the powdered sugar, milk, and vanilla extract until smooth. Adjust the consistency with more milk if needed.
Once the rolls are done baking, remove them from the oven and allow them to cool slightly. Drizzle the vanilla glaze over the warm rolls.
Notes
For best results, ensure the milk is warmed to the right temperature for yeast activation.