Lots of American bread is full of added sugar, but if you look around in the bread aisle you can almost always find a loaf without sugar in its ingredients list. Sourdough is one of my favorites because it rarely has added sugar, and can still be found like that in some of the cheaper varieties.

>Modern American bread tastes like cake to me.

FTFY

Ordinary bread taste nothing like cake and it doesn't even look like that infamous squared sliced American/Anglo-Saxon sweet sponge.

The bread that Subway sell is legally classed as a cake in some places IIRC