I mostly agree with these broad level classifications, except for sandwich. A sandwich refers to the construction (something sandwiched between something else) and also the intended method of consumption (no utensils and rarely a napkin). By your classification a 32oz steak is a sandwich, yet it must be consumed quite differently than an ice cream sandwich.

I'd change the sandwich category to be the chunk category, and have sandwiches as a subcategory of chunks and salads where the food comes surrounded by edible material that's easy to handle without utensils.

There's also the group of very thin soups that might deserve it's own group, but that might just be a qualitive difference.