Separate your eggs and save the whites for scrambled eggs or another recipe and add the yolks to your pot. Mash the soft, ripe bananas until they are crushed and mushy. Set aside. Measure the milk, sugar, cornstarch and add to the pot with your egg yolks. Whisk well until all the ingredients are well combined. Cook on medium heat until the pudding thickens and bubbles. Take off of the heat and add the vanilla and crushed bananas. Let the bananas mingle with the hot pudding for about five minutes or so before pouring into serving dishes. Allow to cool then refrigerate. ENJOY!