In a large bowl, mix sugar, yeast, salt and 2 cups flour. In a small saucepan, heat milk, water and butter to 120°-130°. Add to dry ingredients; beat on medium speed 3 minutes. Add 2 eggs; beat on high 2 minutes. Stir in enough remaining flour to form a soft dough (dough will be sticky)., Turn dough onto a floured surface; knead until smooth and elastic, 6-8 minutes. Place in a greased bowl, turning once to grease the top. Cover and let rise in a warm place until doubled, about 1 hour., Punch down dough. Turn onto a lightly floured surface; divide and shape dough into 24 balls. Place in 2 greased 13x9-in. baking pans. Cover with kitchen towels; let rise in a warm place until doubled, about 30 minutes. , Preheat oven to 375°. Brush rolls with lightly beaten egg. Sprinkle with toppings for rolls of your choice. Bake until golden brown, 10-15 minutes. Remove from pans to wire racks; serve warm.