Answers
I live in an EU Member State or Switzerland. Does Dropbox follow our privacy laws?
While the US does have different privacy laws than the EU and Switzerland, Dropbox is certified and complies with the U.S.-EU and U.S.-Swiss Safe Harbor frameworks, which require it to follow the laws of the region in which the end user resides. More info on Safe Harbor frameworks is here.
In late 2016, Dropbox announced that they are "certified under the EU-U.S. Privacy Shield Framework." More info is here.