The New York Times is reporting in this article about a memo circulated around MTV Europe about censoring any music or videos that could be "sensitive" in this time of War. Manager Mark Sunderland recommends that music videos depicting "war, soldiers, war planes, bombs, missiles, riots and social unrest, executions" and "other obviously sensitive material" not be shown on MTV in Britain and elsewhere in Europe until further notice.
Among the things being censored are System Of A Down's "Boom!," Billy Idol's "Hot in the City," Iggy Pop's "Corruption," Radiohead's "Lucky" and (hilariously) anything by the B-52's. Check the article for the full scoop. Equally ridiculous, BBC Radio 1 recently removed the song "Bandages" by British Colombia's Hot Hot Heat from its playlist for "fearing that the repetition of the word "bandages" in the song may upset some listeners."
UPDATE: You can read the full text of the memo here. Thanks to FAKESMILE for the link.