So you're a marauding monster, invading alien, or anything that has a tendency to cause massive collateral damage. But you not going to destroy any random building, are you? No, where is the fun in that? You're going to behead the Statue of Liberty, or blow up the White House, or anything recognizable enough that by destroying it, you can show the world that you mean business. Avoid the Lincoln Memorial, though. No invading lifeform has ever attacked it . The stone must be cursed somehow. Extra points if you knock them over. Compare Washington DC Invasion, Big Applesauce, Tokyo Fireball.