Hi Jason:
This is my suggestion for off the beaten path sites of London: Check out the following meetup group:
http://www.meetup.com/LondonCultureseekers/
This group is intended mainly for residents of the greater London area who have already seen the Tower of London, Buckingham Palace..... and who are looking for less well known but interesting sites in the area. Scroll through all of Robert's (he is the head of this group which has 18,000 members) current and past events. You might find some ideas that strike your fancy and which you can pursue on your own. I found the following recent meetups to be intriguing:
Museum of the Order of St. Johns (the Hospitallers of the Crusades)
Shakespeare and His London guided walking tour
Kelvedon Hatch (Secret) Nuclear Bunker
Day Trip to Bletchley Park
Boat Trip from Westminster to Hampton Court
When visiting London in 2012 I participated in his visit to the free Science Museum (near the V&A Museum) and the pub visit afterwards where I had an interesting conversation with locals over pint. In 2014 I did his day trip to Bletchley Park, and had interesting conversations with group members on the train ride to and from that site. If you are lucky you might be in London when he is leading a trip that strikes your fancy. In most instances he does not charge for his meetup events though you will pay any costs for admission, transportation, tour guide.....
Have a good one. I will be in London this November for about 14 days which is in addition to the 16 days in 2012 and 18 days in 2014 so I, too, am seeing unusual sites/sights. I am mentally preparing myself for a meal at a traditional pie and mash restaurant which might serve jellied eel on the side. That off the beaten path for even Londoners.
Geor(ge)