I don't know about other films but Beyonce shot a music video there last year.
http://www.gigwise.com/news/84940/beyonce-films-new-video-in-london-bomb-shelter---despite-radiation-fear
Tabloid reports state that the bomb shelter in which she filmed was swept for radiation before she entered, as a nuclear accident is believed to have happened at Greenham Common in 1958.*
*Alleged incident, see below.
http://en.wikipedia.org/wiki/RAF_Greenham_Common#Alleged_nuclear_accident
http://www.gigwise.com/news/84940/beyonce-films-new-video-in-london-bomb-shelter---despite-radiation-fear
Tabloid reports state that the bomb shelter in which she filmed was swept for radiation before she entered, as a nuclear accident is believed to have happened at Greenham Common in 1958.*
*Alleged incident, see below.
http://en.wikipedia.org/wiki/RAF_Greenham_Common#Alleged_nuclear_accident