Consider going along on one of the many excellent guided tours of the City, often with an evocative theme for example ghosts or Jack the Ripper.
The Old Lady of Threadneedle Street
See also: Bank of England Museum.
Official residence of the Lord Mayor of the City of London, completed in 1753.
Designed by Sir Christopher Wren, this tall column (which can be ascended to get a great view) marks the alleged site where the Great Fire of London broke out in September 1666.
Medieval Grade I listed church. This church played a key role in the English Revolution and was the parish church of some of the most decisive Puritans: Oliver Cromwell was married and this is where John Milton was buried. It was the home of the Morning Exercises. The tower remains from the original building; the rest was destroyed in the Blitz but rebuilt based on the original plans.
Church of the Holy Sepulchre (Holborn)
Grade I listed Saxon church founded before the 12th century. The exterior was mostly constructed in the 15th century, and the interior in the 19th. The north side of the church houses a musician's chapel opened in 1955. In addition to the services, there are often evening (chargeable) concerts.
Central Criminal Court
This is probably the most famous criminal court in the world, and has been London's principal criminal court for centuries. It hears cases remitted to it from all over England and Wales as well as the Greater London area. The present building dates largely from 1907 (a new block was added from 1970 for more modern facilities) and stands on the site of the infamous medieval Newgate Gaol. The Central Criminal Court is of course best known today for its association with John Mortimer's Rumpole of the Bailey character, novels and television series. Daily case listings are available at The law pages. No bags, cameras, drinks, food or mobile phones—no facilities for safekeeping. Children under 14 are not admitted.