Wonderful Twin World is a continuation of "Heart no Kuni no Alice", and its fandisc. Alice Liddell starts off as lovers, or otherwise, very close to the characters.
She found a place she could call home with her significant other, and remained in the Country of Hearts. All the characters are supposed to be people she knew, but for some reason, the gatekeepers of Boushiya's (Blood Dupre's) mansion were people Alice didn't remember seeing. The gatekeepers, although looking nothing like one another, were twins. One was a narcissist, and the other likes the occult—they don't lose out to the other characters in terms of individuality.
In addition, there is a storm coming that somewhat makes people crazy. The arrival of the "Crazy Storm". It's said that anybody exposed to the Crazy Storm will gradually go "funny". For example, Blood Dupre coming to like coffee, or the Queen of Hearts falling in love with White Rabbit (Peter White) and starting to collect soft toys.
The Crazy Storm is drawing closer to the Country of Hearts.
"Those precious to me will somewhat change."
Shaken by the imminent arrival of the storm, Alice loses her way and ends up in the dreams of the "Strange Egg".
The storm that threatens to make the Country of Hearts go mad, and the egg's dream that perplexes Alice...
In a world where common sense has no bearing, what will happen to the realistic Alice and her love?
[Translation of the official website's story summary.]