Yes, Pillsbury recipes can be baked without eggs. If one is looking to remove eggs from a recipe there are several substitutions. One can try an egg substitute (sold in liquid form), or a mixture of milk and oil. Eggs provide a bit of fat and a stickiness to recipes, so the final product may not stick together quite as well.
Chocolate chip cookie dough
Bread dough made without eggs can be allowed to rise and baked as it is, and result in perfectly good bread. However it will not be as rich as it would have been if the eggs were included.
Sourdough
Quiesh
try either Pillsbury or allrecipes web site.
custard
yes
I believe those are called poached eggs. and they are also called shirred.
yes you make cake out of eggs so yes
Zwieback is a usually sweetened bread enriched with eggs that is baked, then sliced and baked until it's dry and crispy.
Eggs act as an emulsifier (meaning they help liquids and fats combine together), and they also act as a leavener (meaning they help make baked goods light and airy). In addition, they give baked goods a subtle yellow colour.
Pillsbury is an American company.