These grocery store bakeries still bake fresh bread daily, according to loyal shoppers. I love going to the grocery store and picking up a loaf of freshly baked bread. However, not every store bakes bread freshly daily. Here are 5 grocery stores where the bread is still baked fresh daily, according to shoppers. Publix BakeryThe Publix Bakery is famous for its delicious freshly baked bread and sub rolls.