In phrases of the form [adjective] [noun], the adjective is often being used to narrow the set described by the noun alone. For example, "red cars" narrows the set of cars to only include ones that are red.
I am looking for a special case in which an adjective elevates the phrase to be more inclusive. This could conceivably happen with a very common adjective-noun pair that is used so often that the noun alone gets "left behind" in the language. Can you think of any examples of this?