Spot,My pet hates have already been mentioned:
Wild Rover Whisky in the Jar Three old ladies locked in the lavatory, etc
but I really love the alternative lyrical melody used by Sean Cannon for the Wild Rover. Its breathtaking!
Some more popular songs might be those taught in school. For instance:
Martin said to his man Barbara Allen Lord of the Dance Bread & Fishes
Bob vG
PS I have been told that the 'Three old ladies locked in a lavatory' comes from Cornwall and was associated with subsidence from mining that could cause buildings to collapse, especially WC at the foot of the garden.