Not a bad idea actually. If some people can die of sesame seeds, the rest of us can manage without, sprinkle the seeds on our bread at home or bake our own bread if we can't live without sesame seeds.
That means bread made with wheat is now illegal, because some people are highly allergic to gluten. If you don't want gluten-free bread, you'll have to make it yourself.
Also, you can't have any food with shrimp or shellfish. Peanut butter is now illegal (but you can make it yourself). Pistachio ice cream is illegal.
Not only is wheat bread illegal, but any baked good can't be made with milk either, since some young children are allergic. And you can't substitute soy milk either, since some babies are allergic to that too. Baked goods in your proposed future sound really awful, quite frankly.
Gluten-free baked goods made with potato flour are illegal too, since some people are allergic to potatoes. So french fries are also illegal.
Some other things you won't be able to have either in a pre-made food, or at a restaurant: - celery - carrots - pumpkin - mushroom - onion - garlic - bell pepper - fish (so apparently you want to ban sushi restaurants too)
So I'm curious, in your vision of the future, what exactly do people eat? Beef and lettuce for every meal?
Most bread types don't contain sesame seeds so why let the sesame seeds contaminate them and cause life-and-death situations?
Proposed legislation: allow large-scale production and sales of sesame seed bread only if you produce and sell more sesame-free bread.