Interesting and unusual things to do for a fiver or less this week.
Monday 1 July
LOVE LETTERS: Share your love of London with The Love Lettering Project, where you can write anonymous love letters to where you live. What do you love about London? Head to the north east corner of Trafalgar Square today and tell all. Free, just turn up, 10.30am-6pm
Tuesday 2 July
MUSIC FEST: Waltham Forest Music Festival features eight free concerts with over 1200 performers playing a variety of music across the three-day festival period. Free, see website for full listings, until 4 July
HONK-DOG: If your idea of a good time is stuffing down so many hot dogs down that you feel ill, then here's one for you. Honky Tonk restaurant hosts a Honk-Dog Eating Competition today but be warned, only winners will get their dogs for free. Just turn up, 6pm
Wednesday 3 July
HOUSE OF PERONI: A showcase of Italian culture sets up residency at 41 Portland Place from today with The House of Peroni. Special events are charged but you can take a look around the art and design-filled house for free. Free, just turn up, until 31 July
STREET PARTY: Head to Portman Village's annual street party today for a Wimbledon-themed bash with food, drink, beauty treatments, live entertainment, face painting and kids' workshops. Free, just turn up, 5-10pm
STIR MAGAZINE LAUNCH: STIR is a new London-based magazine that looks at inspiring community-led alternatives in our food and financial systems. Join them for their summer issue launch party at Unpackaged in Hackney, where along with local food there'll be a documentary screening about London's food revolution. Free, just turn up, 6.30pm
Thursday 4 July
ART THURSDAY: First Thursdays is an initiative to promote East London's art scene with over 170 museums and galleries opening late for free events, talks and private views. Explore as much as you like on foot, or join the Art Bus and travel to three of the top events with BSL interpretation. Free, prebook for the Art Bus, see website for details and listings
NATIONAL THEATRE: Anne-Marie Duff, who currently plays Nina in Strange Interlude at the National Theatre, talks about the role and her career. Then, Christopher Bigsby looks at Eugene O’Neill’s legacy, and how Strange Interlude fits into the canon of 20th-century American drama. £5/£4 for each performance, prebook, 3pm and 5.30pm
KILLER SHREWS: Yes, you read that right. Killer shrews. KILLER SHREWS!! Head to the Grant Museum of Zoology for a screening of the 1959 horror film The Killer Shrews, where a well-intentioned scientific experiment goes horribly wrong and results is shrews. But not just any shrews. KILLER shrews. Free, just turn up, 6.30pm
NOISE OF ART: Ben Osborne, founder of Noise of Art, celebrates 100 years of electronic music with an early evening DJ set at the National Portrait Gallery. Free, just turn up, 6pm
EHTIFAL: Ehtifal is a free, three-day festival of art, literature, music and family events at Serpentine Gallery Pavilion celebrating the Qatar UK 2013 Year of Culture. Free, see website for full listings, until 6 July
STEM CELL THERAPY: Regenetec, global leaders in stem cell therapy, lead a lecture at the Institute of Physics on how cutting-edge regenerative stem cell therapy prevents and reverses disease. Free, prebook, from 6pm
Friday 5 July
IGNITE: Jazz vocalist and composer Brigitte Beraha performs at Royal Albert Hall's Café Consort as part of the Royal Albert Hall's ignite series. Free, just turn up, 12pm
WRONG!: Celebrate your ability to make mistakes with Wrong!, a carnival of human errors at Wellcome Collection featuring lectures, activities and workshops. Free, just turn up, 7pm
Saturday 6 July
KEATS GARDEN: Join a free guided tour around the Keats House garden, uncovering stories about John Keats and how his poetry inspired the existing planting scheme. Free, prebook, 2pm
SLG EXHIBITION TOUR: At the moment of being heard is an exhibition at South London Gallery that brings together works and performances by a group of international artists who engage with sound and modes of listening, and you can get a guided tour of the exhibition with a gallery assistant today. Free, just turn up, 3pm
CARNABY SOUND: Another free music festival for you this week. Celebrating Carnaby's musical heritage, Carnaby Sound features live music, ale and cider, street food, live art and shopping promotions. Free, just turn up, 12-7pm
Sunday 7 July
INSTRUMENTARIUM: Things are in full swing for Sydenham Arts Festival, and today you can listen to improvised music created using a selection of used, borrowed and handmade vintage analogue synths. Free, just turn up, 3-7pm (installation) or 7-9pm (performance)
