Well these don't satisfy your criterion that the movie must've been made after you were born, but here:

The Cranes Are Flying (1957)

Ivan's Childhood (1962)

After the collapse of the Soviet Union, Russians don't make good movies anymore. Don't know why that is. Something about oppression sparks creativity?! The only recent Russian movie I saw that I enjoyed is Leviathan (2014), but I doubt it will be appreciated as much by someone who doesn't speak Russian and isn't intimately and personally aware of the reality of corruption in Russia.