Thanks for your post, I knew King William Street was being used for the Bank works but you have provided more information than I could find on any link or books.
A few more off top of head;
British Museum - no real change to status since 1980s. Namely platforms empty shells albeit retaining some tiling, and as usual used as a p-way store. Might be the odd remnants of its shelter days remaining. Stairwells and tiny stub of lift passageways remains at the end of each platform, but no remains of lift landings or shafts, all infilled when the surface building went.
Wood Lane - as far as I know the westbound platform remains as a bit of a time capsule. Anyone been there more recently?
Charing Cross Jubilee - no change. Some experimental tunnel linings around the crossover tunnel which were a trial for the Bond Street tunnel relining project.
Brompton Road - no change. Not sure of the current status of the surface building, which was used by the MOD at least until recently. I believe much of the surface building is recognisable from its railway days, both in terms of layout and features. Whilst the original entrance was demolished when the main road was widened, in actual fact this only really involved the very front of the building. At platform level much remains. One of the shafts remains as a fan shaft which rises up through the surface building, unusually the fan is at low level which is comparatively rare (although not unique).
Aldwych, Down Street and York Road - no change from what you’ll read in the internet as far as I know.
Same applies to the District and Met stations, with the aforementioned exception that Mark Lane has the signal equipment room on the platform now, and the surface building at Marlborough Road has been converted to a traction substation from its previous role as a restaurant.
Hyde Park Corner has changed in the last few years too - from a restaurant to a luxury hotel. In fact IIRC most of the building behind the frontage has actually been completely rebuilt. There’s still a fan shaft running through it, which emerges round the back somewhere. Likewise the basement still contains access to the stations former spiral staircase, itself giving access to the traction substation which has been there since day one.
Another station to have changed up top is City Road, the remaining fragment of the surface building has now gone, with the access now being through some kind of housing scheme.