Hey, SashA, I can't vouch for many people, but I lived in St. Petersburg for 4.5 years, and am pretty Russian fluent. My Russian friends tell me I speak almost without accent. I'd post this in Russian, but Admin has requested we keep things here in English.
I totally agree that it's a complex language, so much so that one cannot truly learn it unless one is immersed in it, as I was. I've gotten nuances of Russian in my years living there that could NEVER be learned by studying books! Including russky mat', cheyrny yumor, i t.d., as well as different connotations for different words and phrases. English, by comparison, is far easier to learn and master as our grammar is pretty basic.
Have you heard that the reason foreigners speak with such a big accent in Russian is because Russian uses different muscles in the face for pronunciation? That is also why Russians tend to have such thick accents in English.
I have heard Aeroflot pilots referred to as being stupid because they don't know or can't speak proper English. It's true Russian schools were abyssmal as far as foreign language teaching was concerned - little or no speaking practise, just reading and translation. Also, there were no opportunities to study abroad during the time of the Soviet Union. So it's no wonder Russians don't know much in the way of foreign languages.
ANYWAY...off on a tangent here, but definitely an interesting one for me.