My favourite is the story explained in the first paragraph here. http://www.oxbridgeediting.co.uk/blog/british-and-american-english/
Winston Churchill in his memoirs discusses a rather animated debate with his American counterparts in the heart of World War Two. A disagreement arose in the discussion of a particularly sensible wartime matter, which when the British side argued it should be tabled, the American delegation insisted most strongly it should not. Mutual antagonism continued for a good amount of time until it become clear that the American word ‘to table’ means to ‘leave on the table’, i.e. to defer the matter, while the British word means to ‘bring to the table’, i.e. to discuss the matter.