All weekend
APPEARING ROOMS: Get soaked (or not) at Southbank Centre's Appearing Rooms fountains. Dodge the interactive shooting jets of water as they fly into the air, creating 'rooms'. You might get pretty wet with this one, so let's hope for a heatwave. Free, just turn up, 10am-8pm
BE A-MAZED: Get lost at Hampton Court Palace's famous maze. Commissioned in the 1700s, it might just be the most famous maze in the world. See if you can find your way in/out this weekend. Maze tickets: £4.40/£2.80, just turn up, 10am-6pm
STOMPING GROUND: From the new romantics of the Blitz club to rockabillies in Elephant and Castle, Museum Of London presents 38 photographs exploring Dick Scott-Stewart's fascination with people and subculture outside of the mainstream. Free, just turn up, 10am-6pm
LONDON BRIDGE CITY SUMMER FESTIVAL: It kicked off its programme on Wednesday, and this weekend you can continue to enjoy live music performances at More London. Free, just turn up, music from 12.30pm
Saturday 4 June
WILD FLOWERS: Discover Bushey Park's wild flower population on this informal exploring walk. Flora expert, Pippa Hyde, chair of the Bushy Park Wildlife Group will lead you through the species and blooms living in the park. £37, prebook, 9.30am-4pm
BORN AND BRED: Exploding into Haggerston Park, Born and Bred Festival celebrates the present and future sounds of London. Expect pioneers of grime, hip hop, house, techno, garage and more. £75.04, prebook, 11am-11pm, until 5 June
SUMMER FAIR: For an afternoon of traditional summer entertainment, head to Tower Hamlets Centenary Park Annual Summer Fair at the Soanes Centre. There's food, craft, pond dipping, storytelling, rickshaw riding and more. Free entry, just turn up, noon-5pm
CANCER CENTRE ABSEIL: Attach yourself to a sturdy rope and edge your way down Guy's Hospital. Before the centre even opens, you'll be able to say you've scaled its walls, while helping a fantastic cause. Places cost £25-£30, prebook, noon-8pm
BUZZ ALDRIN: Astronaut Buzz Aldrin signs copies of his new book, No Dream Too High, at Waterstones Piccadilly. Hear space stories from the man who was one of the first to land on the moon. Free (plus book price for signing), just turn up, noon
PRINCE PARTY: Celebrate the legend of Prince at Solomon's Yard Prince Party tonight. Let it rain purple, while doves cry and you put on your best raspberry beret. There'll be classic hits, street food and plenty of partying like its 1999. £5, prebook, doors from 6pm
COMEDY: Socialist Fun Times is the name of the show and comic Chris Coltrane provides plenty of those in his hilarious set at the Carpenter's Arms in Marble Arch. He's aided and abetted by Danielle Ward and John-Luke Roberts. Free, just turn up, 6.30pm
DON DELILO: Hear from one of the US's greatest living novelists, Don Delilo, in conversation at the Royal Festival Hall. From White Noise to Libra and Underworld, DeLillo has captured the defining beauties and crises of the 20th and 21st centuries. See his only UK date tonight. £20/£15, prebook, 7.30pm
Sunday 5 June
ANIMATION DAY: BFI presents a day-long workshop for adults interested in getting involved in animation. Watch existing pieces, learn which materials to use, do some shooting, and create your own characters. £65 (including lunch), prebook, 11am
CROYDON AIRPORT: It's the monthly open day at Croydon Airport Visitor Centre so pop down to take a look at the world's oldest air traffic control tower, and interactive displays charting the site's history. Free, just turn up, 11am-4pm
FUN, FAIRY TALES AND FABLES: Are you a knight, a unicorn or a princess? Dress as your favourite fairy tale character and head to Strawberry Hill House for a day of make believe. Some activities chargeable, just turn up, 11am-4.30pm
POWER WOMEN: Today's the start of London's Power Women Week and it kicks off with an 8km run through the city's best bits, with a sprinkling of history along the way. Discover the heroines who shaped the capital while working out. And nope, it's not just for girls. £11, prebook, noon
PIZZA FESTIVAL: Feast your face on pizza at Young and Foodish Pizza Festival this Sunday. Grab a place and get five quarter-pizzas and a drink, plus the chance to see some of the capital's finest dough-wielders. Tickets are selling like hot, er, pizza, so get a slice of the action while you can. £28.50 (+bkg fee), prebook, noon-7pm
COFFEE SKILLS: Learn to swirl your latte with this Coffee Lovers Latte Art class at CWTCH. They'll show you how to brand your brew with hearts, flowers and even a bear. Be prepared for lots of hands-on learning and many cups of Joe. Free, prebook, 3.30pm-5pm
HISTORY WITH A DIFFERENCE: Head to St Margaret's House, Tower Hamlets to travel through 100 years of history. Look back at Bethnal Green life with Joyce Hampton. £4-£6, prebook, 4pm
BEATWAVE: Get in the mood for sun with Proud Camden's BeatWave music party. Live music, dance, prizes, DJs and the kind of tracks that get you shouting, "summer, summer, summer time" à la Jazzy Jeff. £12.50-£17.50, prebook, 7.30pm
HIDEAWAY COMEDY: Chase away the Sunday blues as Kat and Will E bring their stand-up shows to Sunday Comedy Club at Hideaway, plus three more acts guaranteed to get you chuckling into next week. £12, prebook, 8pm