Here is an article about the "Y Generation" and Cuban naming trends: http://www.japantimes.co.jp/news/2014/02/26/world/social-issues-world/forget-yevgeny-and-yilka-cubas-generation-y-returns-to-roots-for-names/#.VNk0JFWJOuY
I'm going to assume the most common instances are newly converted Christians naming children with Biblical names and would love to hear about how that may have occurred in different places!
This isn't exactly cross cultural, but for a few years of the Trujillo dictatorship every firstborn son born in the Dominican republic had to take Trujillo's name or middle name as theirs
There is actually a trend in modern Japan of people giving their kids "western" names, like Maria, George, Ken and so on. The idea is that when they grow up, they'll have names that allow them to interact and compete on the international playing field. It also intersects with another trend, called DQN names, which are names that are nonsensical, nontraditional, or pun like, including foreign names.
During the protest movement of the 1980s English names were en vogue in Eastern Europe. A particularly interesting case is East Germany: since the West Germans were much better acquainted to the contemporary English culture (and orthography!) Germans who got an "English" name back in the GDR became a laughing stock in the new United Germany. Those "English" names were most commonly picked up from schoolbooks: Maik, Peggy, Ronnie, Mandie etc.
Source: Zeit article from 2012 describing the contemporary stigma.