In August 2004 Llwyd joined Adam Price in a campaign to impeach then Prime Minister of the United Kingdom Tony Blair over the alleged misleading of the UK Parliament and for allegedly making a secret agreement with then US President George W. Bush to overthrow Saddam Hussein, amongst other charges.
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On December 2013 Llwyd appeared on a special Christmas edition of BBC Two's University Challenge representing the University of Wales, Aberystwyth.