I recently photographed independent coffee shop Coffee Lounge in Woolwich for their website.
They have a prime spot right on General Gordon Square, next to the high street and local market and a minute's walk from the DLR station. It's not only their location which makes them popular, but also their very friendly staff, coffee, teas and great selection of snacks and confectionery.
They also have some great windows for people watching, outdoor seating for sunny days, free wifi, newspapers and lots of available seating indoors. In fact, quite large for an independent coffee shop in London. If you're in the area, do check them out. They do offer frappes and kids drinks, so a thumbs up for being family friendly too!