If you're looking for anime similar to Anne no Nikki, you might like these titles. All recommendations are made by Anime-Planet users like you!
With their father serving overseas in the Navy towards the end of the World War 2, Seita and his younger sister Setsuko are living as normally as they can. One day during a firebomb raid on the city their mother suffers fatal wounds and the two siblings' lives are turned upside down as they go to live with a relative. After suffering the cruel treatment of their aunt, who makes it clear that their very presence is a nuisance, Seita and Setsuko decide to leave and go to live in an abandoned bomb shelter. With no one else to rely on, Seita and Setsuko try their hardest to live from day to day. Though when food becomes ever more scarce and no one is willing to sell what little provisions they have, life for the pair is increasingly difficult. Then when Setsuko falls ill, Seita begins to realize just how fragile life is...
Both are historical stories of families trying to survive the horrors of war. The suffering and trials that entales are thoroughly explored in both of these tragic, touching stories. They compliment eachother well. I recommend both.
Both Anne no Nikki and Grave of the Fireflies are movies about WWII which for once give you a realistic look into the lives of the less fortunate civilians. Both of these movies are essentially about the same: trying to survive until the war is over, but because they play in a very different part of the world (Fireflies in Japan, Anne in the Netherlands), they're both interesting to watch for those who've seen one and would like to see more about this theme.