East london spot with a bit of everything, food during the day and cocktails, music and cinema during the night. Few nice places around like E5 bakery, Netil 360 rooftop, and Mare Street Market
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)
It is a music store in Brick Lane. You can spend there the perfect Sunday afternoon, listening to lot of new good music, thumbing through cool books while relaxing in their café. Oh, and the Rough trade photo-booth is a must if you go there!
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.
Izakaya-inspired dishes, incredible music played through a proper audiophile set-up, in a beautiful looking and low-lit setting. What all restaurants should be like.