From Longman Dictionary of Contemporary Englishtall story/taletall story/talea story that is so unlikely that it is difficult to believe → tall
Examples from the Corpus
tall story/tale• And yet all his life, his integrity warred with a flair for the theatrical, a fondness for tall tales.• He wowed his colleagues after hours with tall tales.• No Baron Munchausen would have dared to imprison his saga within the limits of a tall tale.• But there's still time to remember tall stories from previous superintendents.• With his feeling for tall stories he's a radio natural, though.• Horden's design blended innovation and massing A tall story or a tourdeforce? 