In my case, the people I've talked to are my parents and grandparents - my passport says "Place of birth: USSR".
F'rex, in tyrannies, it's always easy to be accused of something you don't get a fair trial for, so `avoiding risk' includes `never pissing anyone off'.
Tyrannies don't generally try to mess people up just because. If you get in a random dispute with another guy, most likely you will actually get a fair trial and such. It's usually only when you trod on the toes of someone in a position of power, or (more likely) one of their unknown friends, when you find yourself in trouble. That's what I meant about "personal attention", and, as noted, while it's not something you can truly control, the chances of ending up in a spotlight inadvertently is very low (though not nil).
There are exceptions to that - e.g. if the regime instigates a witch hunt, and your background happens to be matching whatever it is they are after. Say, Jews in Nazi Germany, or people of noble descent in the USSR. But this actually isn't that common, and paranoid stages tend to pass and give way to stability. So late USSR, or, say, Fracoist Spain, you more or less knew what you had to do to draw such attention - and avoid doing so.