I love the Brixton markets, they are about as far from the food aisle of any multi national supermarket as you can imagine. One minute you can be in Thailand, then Jamaica via Turkey the next. Franco Manco is pretty busy, but it’s very special to me.
SOAS university has a small gallery space dedicated to exhibitions about Asia, Africa and the Middle East. There's a small but beautiful Japanese zen garden on the rooftop (currently closed for refurbishment)
London is blessed with many fine parks, but Brockwell is a real jewel in south London. A short walk or bus ride from Brixton, or right by Herne Hill overground station, the park includes large grassy areas, the fantastic Brockwell Lido (a vast open-air pool – hectic mid-summer unless you get in early - a 7am swim is utterly blissful), tennis courts, a bowling green, a BMX track, a mini-railway, a secret garden, and a few newly landscaped ponds. Perfect for a lazy summer day.