Which European country's flag has a map of the country on it? Cyprus. Its national flag displays a copper-coloured outline of the entire island of Cyprus above two green olive branches on a white background.
The flag was introduced when Cyprus became independent from British rule on 16 August 1960. Turkish Cypriot artist İsmet Güney designed it after the new republic sought symbols that could represent both Greek Cypriot and Turkish Cypriot communities. The white field and olive branches express peace, while the copper colour refers to Cyprus's historic copper deposits; the island's name is often linked to the Greek word for copper.
Cyprus is unusual because its flag shows the country's geographic shape rather than a conventional emblem, shield or abstract pattern. Kosovo's flag also includes a map, but Kosovo is not the answer to this question because its flag shows a golden map surrounded by stars, while the question's canonical European example is Cyprus. The current design was updated in 2006, though the basic concept dates to independence.