If you want a peaceful day out of the busy city, Highgate doesn't really feel like London. The cemetery is interesting and peaceful, there's a tour of the old half which is definitely worth the money. Karl Marx, among others are buried there.
Everyone should visit this absurd restaurant once in their lifetime. Its over-priced, mediocre food but the decor and ambiance is like nothing else in theatrics and campery. You are met on arrival by a white velour 'napkin' artfully screwed up on your diner plate. Absorbent, not? Fabulously awful, yes.
I didn’t know it existed until I moved to Brixton. Brockwell Park has been a revelation to me, it’s beautiful with many secrets. Check out the outdoor theatre in the summer up by the old house - Midsummer Night’s Dream last year on a midsummer’s night was astoundingly good.