Greenwich park ,then the market.

Walk through the foot tunnel under the river .

its streetfeast festival atm, in Dalston. mega.

http://www.streetfeastlondon.com/#!dalston-yard/c15ge

also Borough market is a definite on a saturday.

Victoria Park is mighty fine too. great walk along the regents canal from Angel.

avoid west end.

Check out parliament hill/Hampstead Heath /kenwood house in North London .
On lovely evenings like this it can be quite lovely to get a picnic/drinks and sit in regents park & people watch.

Hoxton and the surrounds are the trendy/arty East End area these days, there’s a breakfast/bunch place there my veggie daughter likes.
Borough market is great for foods but a lot of meat in case you are squeamish, not every day of the week so check
Take river taxi/ferry over to Greenwhich (I see pictured above), National Maritime Museum, route has stops at London Bridge or Embankment
Try and get a booking at (the fabulous) Ottolenghi’s in Islington or just grab lunch at the deli in Belgravia there are tables outside at the back and it’s no so expensive (nice to walk around the area, Belgravia and Eaton Sq etc) and not far from Green Park and Buck House/Mall.
See if you can do a walking tour – there are many guided ones with different themes.

Cask is poor in my opinion and not much around there apart from the Tate. Much much better Craft pubs. Such as Craft in Leather Lane for instance.

Stay East in the evening everything is shoreditch Hoxton Spitalifields as mentioned avoid west LDN it’s had its day TBH. Brick Lane for curry, Tate Modern on south bank or anything on south bank really. Columbia road flower market on Sunday in shoreditch has to be seen if u here. And yeah if you fancy it walk up Kingsland Road to Dalston to get a real flavour of what us happening in LDN u might ever see Stewart Lee 🙂

I live in Canary Wharf and thoroughly recommend over this way too, all places mentioned are fab and if it takes your fancying for proper food try Nopi in Warwick St Soho, but book you can’t get in otherwise.
Failing that salt beef bagel from the bagel shop nearest the top of brick lane or pop into Fika (next door) for funky Swedish food. If it’s cocktails then Plateau in Canary wharf has to be beaten IMO, pop over and say Hi 😆

Go to Broadway street market near London Fields on Saturday. You can also have a barbecue in the park.

Photo from battersea park

If you are here for the weekend then I reccomend the maltby st market and walking from London bridge and going right to the end of the arches (last stop the kernel brewery) you have to try the st John donuts (don’t but them from the kiosk on bermondsey st but from the bakery stall) and then back into town via a bus/tube from bermondsey tube station. Less tourists than borough market as it’s slightly off the beaten track.

Gelato from Gelupo on archer st (and lunch from Bocca di Lupo opposite)
If the suns out then hampstead Heath and a pint at the flask, the Rake and the market porter in borough will have hundereds of beer options from round the world. If you like Belgian beer then dovetails in St. John’s passage is good and no tourists as off the beaten track,the Jerusalem tavern is just round the corner if you have made it that far you are half way to hipsterville brick lane/spitalfields market.

Shard is a good afternoon… expensive though. Best booked in advance too. You’re rewarded with, I think the best view across London and more time at that height than in the wheel.

Best pub for me is Lowlander near Covent Garden. Delicious Belgian beers galore!