The thing I love most about London is the juxtaposition of urban and rural, and nowhere is this better illustrated than in Lea Valley Park. A genuine wilderness where I’ve seen everything from ponies, to a rogue Costco outlet, and all less than 20 minutes from my front door.
This is a great, free and lesser known spot in London. A glass lift takes you up the side of st.Paul's cathedral right out onto the roof terrace of this shopping centre. A great view over London.
The walk along the South Bank from Westminster to Tower Bridge will take you past a plethora or interesting sights and cultural hotspots. There's always something interesting going on too.