Comment Deutsches Museum at Munich (Score 0) 435
I don't know if your trip extends to Europe, but if it does, the Deutches Museum at Munich is probably the best museum in its kind that I have seen (and yes, I have seen the Smithsonian too).
Imagine a leading industrial nation that lost two wars, but still is one of the richest countries of the world. Imagine the urge that possesses such a nation to show the world that it still counts as a leading nation in this and other fields. Imagine (almost) unlimited funds. Now you have the Deutsches Museum.