So far these are the castles and palaces I've visited (in order, with new pictures).
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Prague Castle with St. Vitus's Cathedral rising out of it.
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Karlstejn Castle: For centuries it held the Bohemian Crown Jewels and is only 45minutes away from Prague
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Neuschwanstein Castle: The fairytale castle in the German Alps and the most beautiful one I have ever beheld
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Schonbrunn Palace: Summer home of the Hapsburgs in Vienna and nearly a match for Versailles in Paris (and that's saying something)
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The Vienna Hofburg: In the middle of Vienna, the ruling seat of the Hapsburg Dynasty for centuries