Are you annoyed by lumping entire metro areas in with the central city?

[Filuwaúrdjan]

Yes and No. If that makes any sense.

Though in a British context I'm thinking more of the traditional boundaries of cities than the various ghastly things inflicted on us by pointy headed bureaucrats in the last third of the 20th century.

[Filuwaúrdjan]

The City of London is tiny.

Doesn't the term "City of London" just refer to the London CBD and not the actual London city limits?

Quite right.

It's actually the boundaries of the old Mediaeval city (although not quite; they changed things slightly a few years ago as the boundary of the City was actually running through buildings and so on...). The old LCC area is better for working out where the main city ends and the suburbs begin, but isn't perfect.