At one time Tory Historian used to go past Staple Inn every working day and sometimes twice a day, always assuming that it was Tudorbethan mock-up of an earlier structure. On Saturday, during a visit to the Geffrye Museum TH was disabused of this. Apparently Staple Inn, built in 1585 is one of the survivors of the Great Fire of London though it was damaged somewhat during the 1944 bombing of London and had to be restored. But it is mostly original and still in use.
Here is a list of other buildings in the City and along the Strand that survived the Great Fire. TH thinks that a Sunday will have to be spent investigating them very soon.