Dissolve yeast in warm water in 2 1/2-quart bowl.
Add milk, sugar, salt, eggs, shortening and 2 cups flour.
Beat on low for 30 seconds, scraping bowl constantly.
Beat on medium speed for 2 minutes, scraping bowl occasionally.
Stir in remaining flour until smooth.
Cover and let rise until double, 50 - 60 minutes. (Dough is ready when indentation remains when touched.)
Turn dough onto floured surface; roll around lightly to coat with flour.
Gently roll dough 1/2-inch thick with floured rolling pin.
Cut with floured doughnut cutter.
Cover and let rise until double, 30 - 40 minutes.
Heat vegetable oil in deep fryer to 350°F.
Slide doughnuts into hot oil with wide spatula.
Turn doughnuts as they rise to the surface.
Fry until golden brown, about 1 minute on each side.
Remove carefully from oil (do not prick surface); drain.
Dip the doughnuts into creamy glaze set on rack then when slightly cooled spread chocolate frosting on top.
Dip in sprinkles or other toppings after chocolate if desired.