La Cigale

Part deli, part convenience store, this Rotherhithe spot keeps wonderfully early hours, opening at 6am and serving right through until 6pm, Monday to Saturday. There's outdoor seating for fine mornings, along with dine-in and takeaway options, and the entrance and seating are both wheelchair accessible. With a 4.7 rating across 120 reviews, it's clearly well loved in the neighbourhood.