Not the most exciting place inside, but a lovely rooftop area which not all that many people seem to know about, 2 mins walk from Old St station. If it’s packed then The Red Lion is just up the road.
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.
Lots of traditional charming country pubs around the area, but it can a bit hit and miss. A really friendly one with amazing food (and a unusually large veggie selection…) is the Beehive in Epping Green; close to the Great Wood. It's friendly enough you dare going there by yourself with the paper and are not at the mercy of local rubbernecks ("the rubberneck" = person who stares at strangers without any sign of guilt)
There is a rather beautiful faded glory to these mythical creatures, which flank the steps guarding the ruins of the Italian Terraces in front of the former Crystal Palace, which dramatically burnt down in 1936.
Half a mile from Markfield Park down the River Lee is Springfield Park. The park rises steeply up from the river and has an amazing array of tree species making it beautiful in all seasons. At the brim of the hill there is a line of park benches each one surrounded by box hedge offering a private view across the Lee Valley, Walthamstow and beyond. The park warden was nice enough to give me a chestnut log a couple of years ago from which I carved a bench and two stools.