Getting lost is an age old suggestion but a good one. Put away your cell phone or your A-Z and just wander around. I still do this regularly even though Ive lived here for nearly 10 years. London is a big city and it drip feeds you its secrets sometimes. You will come across things you wouldn't usually, in amongst the Starbucks and pret a mange there are some amazing sights. Just 'being' somewhere is a great experience and one no guide book can help you find.
I really enjoy this vegetarian restaurant. It has everything from amazing healthy soups and salads to healthy dairy free desserts...my favourite is the raw chocolate tart with dairy free coconut ice cream!