There are so many famous old buildings and amazing natural locations in the UK - many of them were listed in the 1980s. The British government has been criticised for spending money on applications for W.I. status when it often does not change the popularity of a place or lead to more tourist income.
Some of the famous buildings are: Canterbury Cathedral, Durham Castle, Westminster Abbey and Blenheim Palace.
Structures are: Hadrian's Wall, Stonehenge and the stone circles of Avebury.
Whole towns/cities/areas include: Bath, Edinburgh and the Mining Landscape of West Cornwall.
Natural sites: Giant's Causeway and St. Kilda island.
Every year in Japan there are news stories about Japanese sites and the World Heritage application.
I guess that the UK isn't so interested in this UNESCO status anymore...