Boxpark (you know, the awesome pop-up mall in Shoreditch -see more here-) organises a lot of events, so keep an eye on their website if you're interested in absorbing the real London life. (I definitely recommend this after you've seen and done the usual touristy things!)
One workshop caught my eye because it involves lino printing. In a three hour workshop you'll learn the skills and make some prints and a tote bag (yes, I have a total tote bag addiction). I know it's very short notice, but you never know you're in London next Wednesday.