Like the fifty states game, trying to think of all thirty-two London boroughs can be harder than it sounds. In fact, I'm far better at naming the fifty US states than I am at naming the boroughs of Greater London. Just like the fifty states game, even three people sat scratching their heads will probably give up before coming up with all thirty-two.
This page is a simple list of the thirty-two London boroughs, easy to view on a mobile phone browser when you're sat at the pub trying to work out which ones you've forgotten.
Note: Inner and Outer London are listed here as defined by the London Government Act 1963, but there are other definitions in use.
The City of London is not defined as a borough, nor is it within a London borough. It is instead governed by the City of London Corporation.