The Communists killed the Tsar and his family, NOT Rasputin...
...But why would Hollywood let the truth get in the way when avoiding criticism of Communists? And Anastasia herself has been proven to have perished with her family. These are well-established historical facts for anyone with even a precursory knowledge of 20th Century history.
Now, frankly, maybe I'm jumping the gun on this critique, I have not seen the movie. Maybe it does show the Communists murder the Romanovs, but rather I'm basing my criticism on this description:
"Years after losing her family to evil Rasputin, Czar Nicholas'
grown daughter is able to reunite with her grandmother in Paris."
That certainly sounds to me like Rasputin is the perpetrator of the murders in this movie. I haven't found the Communist Bolsheviks specifically mentioned in any of the reviews as being the actual murderers. I wouldn't put it past Hollywood to gloss-over communist crimes and pin them on someone else, especially since the entire Bolshevik Revolution also seems to be pinned on an undead Rasputin in this movie.
I could even understand making a movie with the premise that Anastasia somehow survived, because she was definitively proven to have perished there only relatively recently, and there were rumors and speculation about her for most of the 20th Century. However, ignoring the fact that the Bolsheviks slaughtered the royal family and casting Rasputin as the demonic villain responsible for the murders is a gross distortion of history. Now many children are going to grow-up thinking that Rasputin, rather than the Communists, was responsible for these crimes (he was dead before they were murdered). I see that this movie was released in Russia, there must have been outbursts of laughter at the pathetic failure to get basic historical facts straight. Russians do generally know their own history nowadays. I realize that this is just a children's animated movie, however there would no doubt be many outraged people if such a movie misrepresented the facts about notorious crimes committed in the West. Would it have been so bad to let the Communists be the villains in the story? Would that have been bad for children? Only in the eyes of Hollywood. Shameful.