The basic rules for the BBC decisions were that sexually suggestive material would not be permitted, no popular songs based on classical standards unless the arrangement were acceptable - and certainly not swing band interpretations, any song that was quasi religious (or inspirational pop ballads).
Back in OZ we banned "The Battle Of New Orleans", Bobby Darin's "Mack the Knife", and Jackie Wilson's "Night". "Love For Sale" had no hope of its being played in it's vocal form.
The song "Royal Telephone" (Burl Ives) was also banned by many commercial radio stations.