We are British but not part of the UK nor members of the EU. We're served by the British Royal Mail system and use UK-style postcodes, but sometimes when I input my address I must chose a country, so pick UK, which triggers UK VAT on my order. We're exempt from UK VAT so dealing with this is frustrating. Some retailers do waive it when I raise the point but I have to remember every time.
Total edge case I know, but I hope it demonstrates that even picking a really broad starting point like 'country' can still fail sometimes.