22 stations have been picked out as especially busy as well as seven sections of line.
The TfL website lists them rather than providing a map, because lists are easier, but I thought I'd knock up a map because maps are more interesting. It's a rubbish map, sorry, but it is much better at showing what's going on.
The thick yellow lines are the busy sections of line. The Victoria line, the Jubilee line extension and the eastern end of the District line all feature. The short section of the Central line which runs underneath Oxford Street is particularly busy. Other than the Overground to Willesden Junction, west London is not affected.
The red blobs are stations where you might have to queue to gain entry or when interchanging between lines. North Acton, Clapham Junction, Canada Water and West Ham are busy for interchange only. Many of the busy stations are at the ends of lines, such as Brixton, Walthamstow and Lewisham. The borough of Newham has as many as five red blobs, with another two fractionally outside. Northeast London is disproportionately affected, while west London again gets off very lightly.
A special link has been provided to help passengers identify quieter times at every TfL station. This isn't hosted on the TfL website, it's a Microsoft Power BI data visualisation tool, so the graphs it displays can't be viewed in one go without scrolling and can only be accessed via a frustratingly cumbersome dropdown menu. But the data does at least seems to be up-to-date (stations which are currently closed, for example, do not appear).
The webpage rounds off with a list of 25 locations where queues for buses may be longest. Again there isn't a map, so again I've made a bad one.
London's 25 bus queue hotspots are almost all in zones 2, 3 and 4, with central and outermost London less affected. The only bus queue hotspot in zone 1 is at Elephant & Castle, while Bromley and Croydon are the sole representatives of zone 5. Haringey and Greenwich each have four red blobs, whereas no other boroughs have more than two. Again the western half of London is considerably less affected than the east.
In conclusion it seems Central London isn't busy, neither are the outer suburbs, and east London has more crowded public transport than west.