These districts are entirely parished and have no unparished areas:

These districts are entirely unparished:

These districts have unparished areas

Of these - the metropolitan boroughs

Of the remaining, the following names are pure district names, not after a settlement at all (or after multiple settlements)

The following districts are based on points of the compass

The following districts have "and" or "with" in the name

The following districts have a name based on a town name, but not all of it

The following districts are named after a town but generally not considered to be coterminous with the town

The following districts are considered by Wikipedia to be coterminous with the town