Anastasia: Did she realy survive and was she Anna Anderson 

No, Anastasia did NOT survive the massacre of the Romanov family. They just buried her not with the rest of the family.

And Anna Anderson occurred to be a Polish woman, who was a servant in the palace of the Tsar Nicholas II. So, that's why she could remember many events and facts.

well noone knows anything for sure, thats why there are so many conspiracy theories out there surronding anastasia, one of them being this movie!

Well a sevant, umm not sure maybe. but how does that explain all the physical similarities like the scare on her shoulder is the same as anastasia the foot condition was the same and other marks on her body like anastasia got her finger caught in a carrage at a young age, and anna anderson had a mark in the same spot on the same finger as well the exact same ear structure. As silly as that may sound, no two people have the exact same ears. I dunno. It's unfortunate that no one will ever know, but to base facts on it, they kinda favor anna anderson as being anastasia.

No,sadly Anastasia died with the rest of her family in 1918. Her bones were found later on at a different location from her family.