From the Globe, walk east along the South Bank to Southwark Cathedral, London's oldest Gothic church (some parts of the cathedral date back to the 12th century). As the nearest church to London's first theater district, it's no surprise that Shakespeare worshipped at Southwark Cathedral. Inside there's a memorial to the bard, constructed in 1912, and the cathedral holds a Shakespeare birthday service each year. Like Bunhill Fields, the cathedral grounds provide a pleasant place to rest from the stimulation of the city.
And when you're ready, venture out for a well-deserved drink or meal, readily available along the South Bank. Or, look up that night's readings in a Time Out, and set off to see what contemporary British writers are making of their literary inheritance.