The late Lonnie Donegan not only got banned by the BBC for 'Nobody Loves Like An Irishman', but also for 'Digging My Potatoes'. Around the same time, the Beeb would only play 'The Foggy, Foggy Dew' on the old Third Programme (the 'intellectual' network') and not on popular channels. Later they banned Leon Roseelson's 'Tim McGuire' after a complaint from the Chairman of West Bromwich Fire Committee. My 'Nine Miles from Gundagai' got blacklisted in 1966 (because it was dirty) and another track on the same EP, 'Riding Down the Castlereagh', was treated the same because it might offend Chinese people.
The first time I broadcast live on 'Folk on Two' i had a letter warning me to sing 'nothing controversial'! A few years later Radio Beacon (Wolverhampton) recorded a charity concert which included me and bleeped two of my songs.
'Expressions of support' for proscribed organisations are banned in the UK by the Prevention of Terrorism Act, which I suppose makes IRA songs illegal.
Never mind --- the banned play on!