Preheat oven to 350 degrees F. Grease one 9 x 5 inch loaf pan and set aside.
Stir together eggs, oil, applesauce, sugar, zucchini and vanilla. Make sure it is fully combined.
Sift together flour, baking soda, baking powder, salt and cinnamon into a bowl.
Carefully pour flour mixture into egg mixture, stirring until completely combined.
Pour entire mixture into loaf pan and bake for 1 hour, to 1 hour and 10 minutes depending on your oven. When it is finished the top should spring back when touch and a cake tester inserted will come out clean.
Allow the bread to cool in the pan for 10 minutes. Then carefully invert the bread onto a wire rack and allow it to cool before slicing and eating.