Lcd Dem (Typeset "Lucid Dream" with every other letter removed) is a fangame by Koronba. It is currently in version 0.030
You play as a girl named Chie who explores her dreams to collect effects and orbs, the latter of which are required to end the game. You save via a diary and enter the dream world through Chie's bed, much like in Yume Nikki.
The game receives praise for its musical score, and is currently still in production.
You can get version 0.03 here (Japanese)
The latest English version is 0.025, available here
Additionally, there is a Lcd Dem wiki, as well.