All weekend
LIT FEST: One of London's biggest annual book festivals, Stoke Newington Literary Festival boasts three days of events taking place around the area. Highlights include a history of Stokey, a talk on the importance of educating people about vaginas, and Sali Hughes and Lauren Laverne discussing the Queen's outfits. Various locations and prices, book ahead, 7-9 June
FRAGMENTS FESTIVAL: Solidarity and unity within the film industry is the focus of Fragments Festival, which gives a platform to underrepresented filmmakers, including LGBT+ individuals, and people of colour. Highlights this weekend include A Season In France, which follows the lives of two refugees, and Permission, about the everyday injustices of the lives of women in Iran. Genesis Cinema (Mile End) various prices, book ahead, 7-15 June
STROUD GREEN FESTIVAL: Celebrating women is the theme of this year's Stroud Green Festival, which gets underway this weekend. Music and theatre performances form the bulk of the festival, including readings from Shakespeare's plays, and a concert about local suffragettes, scientist and composers. Various locations and prices, 7-23 June
OPEN GARDENS: Get into gardens that are normally off-limits to the public for Open Garden Squares Weekend. Roof gardens, kitchen gardens, fancy garden squares, church gardens and community gardens are among the 130 venues being opened, with special events taking place in some of them. Various locations, £20, book ahead, 8-9 June
SUMMER FAYRE: St John's Hospice hosts an annual summer fayre to raise money for its palliative care services. Local acts showcase their talents on stage, kids can go on funfair rides, and there are food, drink and craft stalls to get stuck into. St John's Wood Church Gardens, free entry, just turn up, 8-9 June
MAP FAIR: Get your hands on gems like a 1966 World Cup tube map at London Map Fair. 40 dealers from all over the world sell rare, vintage and original maps dating back to the 15th century, at prices from £10 (to hundreds of thousands). Royal Geographical Society (Kensington), free entry, just turn up, 8-9 June
Saturday 8 June
FIELD DAY: One of the biggest music festivals in London this summer, Field Day, is at its new warehouse venue near Tottenham. Today's the final day of the festival, with Jorja Smith and Sinkane among the line-up. Meridian Water, from £45, book ahead, 7-8 June
THAMES WALK: Walk — or run — 10 miles along the Thames in aid of charity Children Change Colombia, which helps children to live safely and in peace. The route begins at Richmond station, and goes via Teddington Lock to Richmond Park. Richmond station, £10, book ahead, 10.30am-4pm
NAKED BIKE RIDE: Hundreds of cyclists take to London's streets without their clothes for the World Naked Bike Ride. The demonstration supports cyclists' rights, body freedom, and the fight against global dependency on oil, and takes place on a variety of routes and starting points — full details here. Various locations, free, just turn up, from 12pm
SUMMER FETE: Celebrate the grand opening of North Cator Park in Kidbrooke at this summer fete. Live music, community and food stalls, kids' entertainment and funfair games are on the programme. Cator Park (Kidbrooke), free entry, just turn up, 12pm-5pm
CRAFT FAIR: It's a Pride special at this month's Solo Craft Fair, with independent stall holders selling colourful products celebrating diversity — across homeware, fashion and beauty. A portion of the profits go to the Albert Kennedy Foundation, which helps homeless members of the LGBT community. Balham Bowls Club, free entry, just turn up, 12pm-5pm
EID FESTIVAL: Everyone's welcome to the Mayor of London's Eid Festival, a free event in Trafalgar Square to mark the end of Ramadan. A line-up of live acts provide entertainment on stage, there are family activities to keep kids busy, and a variety of food and drink is available to purchase. Trafalgar Square, free, just turn up, 12pm-6pm
WORLD OCEANS DAY: Soho Music Month launches with a free outdoor gig on Ganton Street in Carnaby to mark World Oceans Day. A fake grass lawn is rolled out, with plenty of beanbags to relax on and enjoy the live entertainment. Carnaby, free, just turn up, 12pm-6pm
GUN SALUTES: The Queen's official birthday is marked with a series of gun salutes. 41 rounds are fired in Green Park, followed by 62 rounds by the river at the Tower of London. Free, just turn up, Green Park at 12.52pm and Tower of London at 1pm
CHIMNEYS AND TUNNELS: Chim-chiminey, chim-chiminey — explore buried tunnels and unmarked chimneys on this guided walk around Greenwich and the Isle of Dogs, which tell stories of power, pollution and danger. A crossing on the Thames Clippers is part of the route, and is not included in ticket price. Greenwich Pier, £15/£12, book ahead, 2pm-4.45pm
BLITZ PARTY: Evoke the spirit of the 1940s at Bourne & Hollingsworth's Blitz Party, marking the 75th anniversary of D-Day. Don your finest vintage clobber and dance the night away to music from the era. Have a go at swing dancing, and refresh with themed cocktails, all underneath Waterloos station. The Vaults (Waterloo), £35-£45, book ahead, 7pm-2am
Sunday 9 June
VINTAGE FASHION: Stock up on vintage clobber and retro accessories at Frock Me vintage fair. More than 60 expert vintage dealers sell their wares, with labels including Chanel and BIBA among the bargains to be had. Chelsea Old Town Hall, £4, booking recommended, 11am-5.30pm
WORLD CUP BEER FEST: Londonist's drinking buddies, Deserter, launch a beer festival, to coincide with England vs Scotland in the Women's Football World Cup. There are lashings of local brews (including a specially-brewed Deserter session IPA), plus live match screenings and DJs. Dulwich Hamlet FC, free, just turn up, 12pm-12am (festival runs intermittently until the final on 7 July)
THY KINGDOM COME: Trafalgar Square is the location for Thy Kingdom Come, a family festival and service organised by the Archbishop of Canterbury for Pentecost. The festival takes place from 12pm-4pm with live music, spoken word, craft activities and storytelling, followed by a Pentecost service of praise, worship and prayer. Trafalgar Square, free, just turn up, 12pm-6pm
LIVE AT LUNCH: If you're in the Covent Garden area, pop into the Royal Opera House for a free surprise performance. It could be an ROH performer or a guest artist — either way, it's a free dose of culture in central London. Royal Opera House (Covent Garden), free, just turn up, 1pm
FESTIVAL OF BRITAIN: Wandsworth Heritage Festival comes to a close with a guided walk around Battersea Park, focusing on the 1951 Festival of Britain. The Friends of Battersea Park point out remnants of the Festival that can still be seen today. Albert Gate (Battersea Park), £5, just turn up, 2.30pm
LIVING IN THE ARCTIC: A film screening, talks and gallery tours all offer an insight into what it's like to live in the Arctic. The event includes a chance to hear from Naulaq Ledrew, an Inuk elder who is currently visiting the UK. National Maritime Museum (Greenwich), £6/£5, book ahead, 3pm
ICE CREAM TOUR: Choose from over 20 varieties to sample on this ice cream tour of London, which visits five of the capital's best gelaterias. Learn about the history of ice cream, and how it's made, as you go, as well as some fun facts about Soho and Covent Garden. Soho, £41, book ahead, 3pm-5.30pm (sponsor)
SOHO FUNDRAISER: Don your best Georgian outfit and head into Soho for this Museum of Soho fundraiser. The Georgian Dining Academy provides 18th century themed entertainment, including parlour games, music, songs and talks. A glass of punch is included in your ticket. Black Club (Dean Street), £20, book ahead, 8pm-10.30pm
COMEDY: Comedian Tiff Stevenson promises you The Best Hour Of Your Life in this show, which features all the best bits of her different tour shows in one place. Upper Norwood Library Hub, £10.68-£13.34, book ahead, 9pm
