I hit the Design Museum (building structure is better than its contents), The Wallace Collection (where cool pairs of Manolo Blahniks were showcased), Jack the Ripper Museum (good if you love Criminal Minds or Dexter), The Portobello Market (good for gifts), The Tate Modern (art), Churchill War Rooms (excellent for World War II or Winston Churchill buffs), the oldest continuous Jewish synagogue of London (from 1701), a play (The Lehman Brothers Trilogy, about the famous Wall Street brokerage that collapsed in the Great Recession), and a walk over the 125 year-old Tower Bridge of London. (good view by the Thames River). However, my favorite day was spent in Oxford, a 65-minute excursion by train from London.
I walked through little alley ways that ended up revealing access to marvels of architecture. Cobble-stoned streets took me to castle-looking buildings and huge wooden doors with iron trimmings that looked like they held Shrek at bay. Many street corners were curved and would lead to forks in the road and a city of puzzle pieces that seemed to all connect throughout time.