Fun Things to Do in London to Make You Feel Like You Live There

My favorite: Selfridges — This is England's answer to the US's Saks Fifth Avenue. The retailer is very similar to Saks and tends to be set up much the same, with designers having their own boutique areas within the store. It's a shopping mecca that everyone should check out.
Other recommendations: Harrods, Superdrug, Boots, Marks & Spencer, Debenhams, any and all of the local boutiques throughout the city