I mean moral one ("Stalin was from Georgia!" "The NKVD were all Jews!", etc.)
This is a tough one for sure - you may be waiting a long time. Apologizing for everything is something very difficult for Russians to swallow. I could try to explain why, but think you'll just say I'm prejudiced again.
Here it goes: Russians, as we understand ourselves, are the biggest suckers in all of history as an ethnicity. First we had to invite Scandinavians to rules us, then it was Mongols, then a German dynasty, then a bunch of Jews, a Georgian, and some Ukranians. The enterprise called "Russia" has almost never been run to the benefit of actual Russians. Any kind of atrocities meted out by these Germans, Jews, Georgians, etc to the many different people of the empire, almost always landed hardest on Russians. This is why it is difficult to listen to Ukrainians or Kazakhs moaning about the Holodomor being an engineered genocide, when you know that Russia lost even more people to famine in those years, mostly along the Volga. It's why its difficult to listen to Poles about Katyn, when nearly every single one of us has a relative executed or disappeared in the purges of the 1930s.
Every former Soviet republic is now allowed to feel proud of its historic roots and culture, except Russians. We're supposed to walk with our heads hung low, and constantly pour ash on ourselves. While everyone around can go as crazy as they want with nationalism, when a Russian makes a peep about it - its fascism and imperialism. Being Russian is like being a poor white person in America - the only group that it is safe for everyone to sh!t on without being accused of being politically incorrect. That's sort of it, in a nutshell.
On a more colorful level, I sincerely believe that Russians are actually the most harmless people. If contrasted with a Ukrainian, what defines the Russian's mentality is our miserable experience of serfdom. If the Ukrainian is a greedy independent peasant farmer that looks only for his own, a Russian is a serf that's never owned anything and relies for everything on community, or "obschina". For a Russian, its always a good deed to steal from his rich baryn (pan in your language), and quickly spend it on a drink with friends before the inevitable whipping comes. For a Russian the most important thing is loyalty to community, because without community you are nothing. Thinking of yourself is a vice, whereas in Ukraine it is a virtue. I'd say this is the biggest difference between us, given that we're basically the same people genetically. We lived under the tsars, while they lived on their own in the wild praries. For Russians, it became an us-versus-them mentality (them being rich people, the government, foreigners, etc), whereas for Ukrainians it became a "just leave me alone" attitude. Russians like to live large and have a good time (if just for a day), while Ukrainians like to huddle back to their house and count their groshy.