I have loved Анастасия as a kid especially the characters Dimitri & Anya who hated each others guts and then they fell for each other. Here is a few things why I like them.
#1 They are different
What I mean by this is that she is a Russian princess looking for her family, while Dimitri is a con man who wants money. Of course when he realises that Anya is in fact the Остаться в живых princess that he helped escaped from Rasputin he begins to fall in Любовь with her.
#2 They are hilarious.
My favourite moment with these two is the part where they are on the train and Anya sits up straight and says to Dimitri...