I found the following list of running routes around city of London from london sight seeing run.

1. Riverview run route

Starting from Tower Hill London Underground Station, Run along the famous River Thames from the Tower of London, along the South Bank and down to Big Ben and the Houses of Parliament.

2. Royal Parks and palaces route

See Buckingham Palace, the official residence of the British monarch, while running through hyde park

3. Historic Eastend route

Run the streets that Jack The Ripper used to prowl and hear details of a string of crimes that has fascinated the world for centuries.

4. London Canals route

Explore the beautiful but relatively unknown London canal ways.Extraordinary canal-side paths and foot bridges lead to the magnificence of Regent’s Park where one might catch a glimpse of the taller inhabitants of the famous London Zoo.

For a running guide to assist you along the routes check this london travel site

Related posts:

1. Running Routes Apps
2. London Marathon Course : Route : Map