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.
Teeny, French cafe with amazing pastries, great coffee and incredible croque-monsieur. Long table in the front and small garden in the back or take away and head to Highbury Fields, which is only a couple of minutes away.
Eccentric and surprising house and museum of architect Sir John Soane. Mostly unchanged since his death over 180 years ago, it is full of atmosphere. Also have spotlit, late night openings.
The Princess Louise, was a Victorian Gin Palace, with mirror and tiles galore, segregated seating and extraordinary urinals. With pints of beer just over £2 you're laughing. It gets packed so we come for a lunchtime pint.