Kross

Overview
Kross is a Yume Nikki fangame made by -torchic-. It stars a girl named Zugaikotsuki.

Gameplay
Zugaikotsuki is asleep from the start, and there are more hidden worlds than the ones connected to the nexus.

Plot
The game mostly does not explain why Zugaikotsuki is in the dream world. Some texts will call her "Meme" as a nickname, presumably in a to the eye on her outfit - eye is 目 or 'me' in Japanese.