[littlestymaar]

> Does this mean that if I'm filing a vlog at Brandenburg Gate (which inevitably includes video of other people in the background enjoying the area), I'm in violation of privacy laws?

No (at least not in France, which also has pretty stringent privacy policy so I think it's still a relevant answer) you can film people or cars in public streets but you cannot do any kind of data processing on the things you film (you can't keep a database with the license plates you have on your personal videos for instance).

In short the line is: pictures and films by themselves are OK [1], but doing anything with the personal info you get from those video is forbidden.

[1]: (under conditions, you must not cause harm in the process: for instance no “happy slapping” videos)