This movie has never been more meaningful to me than when I lived in Thailand for more than six years. I got to relate with it especially the boundaries set by the culture. The traditions and the monarchial protocol are still pretty much the same.
However, I think that Anna is very arrogant. She came to Thailand to teach Prince Chulalongkorn but in the movie she tend to stepped over the line and even wanted to dictate the king what he was supposed to do. Thus, King Mongkut got upset that he was made to appear weak.
Well, I think that it's a bit bias as the movie was told to be influenced by Anna's Diary which is of course one-sided.
But if the focus is on the love story between the king and Anna, it's kinda titillating.