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.
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)
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.