Cut each bread slice into 1-inch-wide strips.
In a large bowl, whisk together eggs, milk, sugar, cinnamon, vanilla, and salt until well combined.
Melt 2 tablespoons butter in a large non-stick skillet over medium heat. When butter is foamy, working in batches, dip bread strips into the egg mixture, turning to coat, until lightly saturated. Place in the hot skillet.
Cook until golden brown, about 3 minutes. Flip and cook until the other side is golden brown, about 3 more minutes. Continue with the remaining bread strips and egg mixture. Add more butter to the pan as needed.
Serve hot with additional butter and maple syrup, and dust with confectioners’ sugar, if desired.