All week
UNDER THE SEA: Make like the Little Mermaid and investigate what goes on beneath the sea at the Horniman Museum's Aquarium. Meet jellyfish, sea horses and all types of sea creature. £4.40/£2.20, just turn up, from 10.30am
TREASURES OF THE BRITISH LIBRARY: See more than 200 of the collection's most beautiful books displayed in the British Library building — from Gutenberg's Bible from 1455 to handwritten lyrics from The Beatles, via the Magna Carta and Leonardo da Vinci's notebook. Free, just turn up, various times
AWARD-WINNING PARK: A Green Flag award holder since 2006, Hackney's Clissold Park is home to deer, huge goats and historic Clissold House. Plus there's exotic birds and friendly hens too. Free, just turn up, 24 hours (cafe opens at 8.30am)
Monday 2 May
GEFFRYE MUSEUM: It's usually closed on Mondays, but this week take advantage of the Bank Holiday and visit the Geffrye Museum. This Dalston step-back-in-time features 11 period rooms plus a period herb garden and provides an amazing insight into a past London. Free, just turn up, 10am-5pm
FREE FILM AT BFI: BFI Southbank has a host of free films you can watch in its MediaTheque. Full length features, vintage adverts, children's TV — there's a wide selection from its archive. Head down there with your family for classic films togther. Free, prebook, 12pm-8pm
UKULELE HOOTENANY: Strum like George Formby this Bank Holiday. Grab your uke (or rent one there for free) to jam away to old classics, whether you're Leaning On A Lampost or casually sucking a Little Stick of Blackpool Rock. Beginners welcome at the Queen Of Hoxton. Free (£20 deposit to rent a ukulele), just turn up, 7pm
Tuesday 3 May
£5 CIMEMA: Discover the story of the first all-female race driving team in the Middle East in the movie Speed Sisters, at JW3 tonight. Pick from two evening performances. £5, prebook, 7pm/8.50pm
DANCE FESTIVAL: Wilton Hall's Strike Dance Festival returns this week, bursting back onto the stage with a blend of work from emerging artists on the theme of memory. Free, prebook, 8pm, until 5 May
CANDLELIGHT AT THE MUSEUM: Discover the secrets of Sir John Soane's Museum on this candlelight tour through the exhibits. It's a magical look at the extraordinary house of one of Britain's greatest architects. Free, just turn up, 6pm (but get in the queue by 5.30pm, it's extremely popular)
Wednesday 4 May
PROJECT AWESOME: Get a 'power boost of positivity' at Project Awesome's fitness movement at The Scoop, London Bridge. Expect dazzling views of the city as you catch it at its best time. Free, prebook, 6.30am
LECTURE: Discover the hidden rules governing the development of natural forms in Picasso, Pottery and Plants at The Royal Society. This lecture is the premier lecture in biological sciences, delivered by Professor Enrico Coen. Free, just turn up, 6.30pm
FILM CLUB: Some of south London's most talented filmmakers present their work at Stanley's Film Club tonight. An evening packed with short films, enjoy comedy, horror, animation and drama. £5/£3, prebook, 7.30pm
LGBT EVENT: How better to celebrate Gregory Wood's newest book, How Gay Culture Liberated The Modern World, than see him in conversation with Owen Jones at Waterstones Piccadilly? £5, prebook, 7pm
CHANGING LONDON: Ben Judah and Rowan Moore talk with Dave Hill about how London has and still is changing, at Pages of Hackney. £5, prebook, 7pm
Thursday 5 May
VOTE: If you're eligible and you've registered, don't forget to call into your local polling station and vote for the next mayor and London Assembly members. Polls open at 7am and close at 10pm
HAIKU ON FOOT: For walking-powered poetry, join Haiku On Foot — a chance to stroll through north London, while sharing and writing haiku. You can even be published in the zine that chronicles this Thursday's walk. Free, prebook, 6.30pm
FIRST THURSDAYS: On the first Thursday of every month, 150 galleries in east London come together with free exhibitions, talks, events and workshops. Find this month's schedule on the Whitechapel Gallery website. You can also pay to take a bus tour. Free, just turn up, 5pm
FIREWORKS: Look up over Greenwich tonight for a free firework display near Greenwich Ship Tier. Just after 10pm, look out for some spectacular sky explosions. Free, just look up, 10pm
Friday 6 May
PROJECT AWESOME: See great views of the city on your workout with Project Awesome at Primrose Hill. See the sun rise during your workout with this friendly fitness class. Free, just turn up, 6.30am
LAMBETH PALACE: The oldest continuously cultivated garden in London, rarely opened Lambeth Palace welcomes the public today. Get started on spring with a bounty of scented blooms. £5, just turn up, 12pm-3pm
CODING CONCERT: Algorave — the first audiovisual concert elevating coding to a music and visual art — takes place in Greenwich. Live coded sound comes to life, with bleeps, crashes and more. Is this punk for the tech generation? Free, prebook, 6.30pm
WELLCOME COLLECTION: The spectacular collection on Euston Road stays open after hours tonight for its monthly Friday Late. The theme this May is Display — what does it mean to be on display? How does it feel? Explore with Candoco Dance Company. Free, just turn up, 7pm
COMEDY: There's plenty of funny things about Eurovision, so in celebration of one of the strangest and most wonderful/random nights in Europe, Laugh Out London presents an alternative comedy night with divas, beards, costumes and ballads. £5/£4, prebook, 8.30pm
Saturday 7 May
LGBT WALK: Discover the queer London scene from the 1920s and 30s with this walk, Duckie — Quite A Lot Of Balls. Join this two-day course and enjoy a weekend of thinking, talking, listening and playing, with research salons from prominent activists, academics and performers. Free, prebook, 11am, until 8 May
IMPERIAL FESTIVAL: Imperial College's Festival has hands-on science experiments, music workshops, comedy, dance, cookery and more, for the whole family. Free, just turn up, 12pm, until 8 May
MORRIS DANCING: It's the annual Day Of Dance celebrating ye olde English Morris dancing. Head to Trafalgar Square to see sides of Morris Dancers taking to the streets to traditional tunes. See the website for exact locations for their performances. Free, just turn up, 2pm-6pm
CLARKS: No, not the shoe shop, but a rather marvellous evening packed with music from reggae maestro Seani B at The Book Club. £5 (free before 9pm), just turn up, 8pm
Sunday 8 May
FREE FARM: Surrey Docks City Farm has cranked up the cute factor, with a huge selection of animals, like cows Chester and Lester. Meet some of the adorable residents and feel like you're in the countryside. £3 donation, just turn up, 10am
COVENT GARDEN PUPPET FESTIVAL: The Punch and Judy Fellowship presents the Covent Garden May Fayre this Sunday. Pop to St Paul's Churchyard for a grand procession, special service plus lots of shows and stalls. Roll up, roll up. Free, just turn up, 11am
LOL OF THRONES: The Rose and Crown of Kentish Town throws open its doors for a night packed with Game Of Thrones good times. Both comedy and a screening of this week's episode, it's a lot of throne for free. Free, prebook, 7.30pm
£1 COMEDY: That works out at less than a penny a laugh (probably). Make Sunday nights loads funnier with four fabulous comedians at Top Secret Comedy Club. Nico Yearwood, Ruth Miller and Stephen Bailey spoil you with stage antics. £1, prebook, 8pm
