Depends on the bread. The simplest breads are made with flour (wheat typically, or some other grain,), water and yeast. Maybe salt.
Yeast itself is a fungal microbe and is more closely related to mushrooms than any animal.
Store bought bread typically has some form of fat added- typically cooking oil. Though it might be butter or egg, depending on the kind of bread. And if it has a nice glossy crust, it’d probably an egg wash.
Cakes are more frequently eggy, as it changes the crumb to being, well, cakey.
Yea … feels like it’d be helpful to have a name for this category of food. Where the essential form of it is perfectly vegan but certain ways of preparing or embellishing it, that are by no means necessary, can often involve animal products. Beer and Wine strike me as another example.
We have some protected category names for foods locally, whole wheat for bread for example. But there aren’t that many protected names. I read the label of almost everything I grab for sport anyway, so unless it’s a shampoo bottle, I’ll know what’s in my hand soon enough.
I mean, as long as it doesn’t have honey in it