Yume Nikki.
Pretty much one of the more weirder games I have played. You are controlling a social reclusive named Madotsuki, who refuses to leave her room for no particular reason. When she falls asleep, however, she can discover various dreamscapes, while trying to collect 24 effects.
There is no particular plot, and it's up to fans own views about the game itself. Not only that, but it's also free to download.
The video shows some slight footage from the game. I myself discovered this while going lost. And laughed, for that matter.
