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Tonight: Sex, Hugs and Forward Rolls + Fancy A Threesome is an alluring bill of Edfest preview comedy upstairs at the Camden Head from 8pm, just £2.
Friday: Witness the AfroReggae Explosion from 5pm on the Southbank Centre terraces and from 8pm in the Clore Ballroom, Royal Festival Hall. Free.
Saturday: Shunt's fantastical Money Machine will be open for exploration at 42-44 Bermondsey Street, SE1 between midday and 7pm, free and suitable for all ages, accompanied by live music, drawing, circus, bbq + bar.
Kids and parents can join the shadow puppet workshop at Railway Fields, Haringay between 11am-1pm.
Ping Brazil brings a day of Ping Pong and Brazilian dance, music and food to Gillett Square, Dalston between 1pm-9pm
Life-sized puppets will run and dance to live music played by a 16-piece brass band through the streets of Kensington in Monkey and Bear, a spectacular promenade performance by the borough’s own theatre company, Gilt & Grime. Part of the InTransit Festival. 5pm and 7pm, £3. Meet High St Ken Tube.
On the last weekend of Leytonstone Festival, it's the Leytonstone Town Centre's Summer Fair, focused around the Underground station between noon and 7pm. Get the kids face painted and whizzing round the bouncy castle. Beforehand, there's a guided walk round Leytonstone Old Hospital by the civic society and it's open day at St John's Church. From 7pm, toast the launch of the Leytonstone Arts Trail.
Museum of London's Festival of British Archaeology gives you the opportunity to identify Thames foreshore finds, learn about bones, meet experts, wash discoveries, take an archaeology walk and all for free.
New Orleans New Cross Honky Tonk Acoustic Jam. Bring your banjoes and trombones to this jam session around the piano. 8pm til late, free entry, 306 New Cross Rd, SE14.
Sunday: Chill out waterside with Silent Sunday Snooze tunes at the Barbican Weekender, 11.30am-7pm, free.
Imagine horse riding crossed with basketball. Got it? Don't believe it? Watch the International Horseball Cup at Lee Valley Riding Centre (Sat & Sun) from 11am. Free.
Fuse is a free arts festival designed for and by young people, in Kensington Gardens, noon-7pm.
Take an interactive walk led by local artist Laine Lang exploring the role and history of famous artists in and around Kensington from Tite Street to Cheyne Walk. 11.45am-2pm, £2 meet Chelsea Physic Garden. Part of InTransit.
Kentish Town Street Festival happens on Busby Place and Oseney Crescent off Camden Road, NW5 2SP between 2-7pm with live music, tug of war, fancy dress, story telling, healing, food, stuff and more.
Picnic in Landseer Park, Islington between 12-3 with a steel band, samba drumming, henna hand painting and crafty stuff.
Ealing Global Festival fills Walpole Park with gypsy, Balkan and klezmer influenced sounds between 1-10.30pm (£1 adults, kids free).
Monday: Get to know Loughborough Park (it's in Brixton) between 6-8pm with a guided nature walk.
And there's a Big Ideas talk on cosmetic neuroscience, discussing the ins and outs of "the mental equivalent of Botox". 8pm, free at The Wheatsheaf, Rathbone Place, W1.
Wednesday: Graeae sway on 4m high poles at 6.30pm in Theatre Square for Watch This Space, presenting a story of survival "Against the Tide".
Help keep London thrifty - let us know about cheap and free events happening in your hood. Email firstname.lastname@example.org, leave a comment or tweet us @londonist. And please do let us know if you follow up on our cheap suggestions - were they any good?