Lucid Spirit Dream Game
The "Real" World
You are thrust into the world of Akamatsu Academy, an island boarding school attached to the city of Tokyo. Akamatsu Academy is for the rich and famous or the incredibly gifted. A small population of the school (secretly?) is a part of a group known as L.U.C.I.D. (acronym for nothing lol), or Lucid Dreaming Club, is a team that enters the magical plane of Osheagara and combats the demonic forces known as Fūzen (or simply evil) under the guise of simply sleeping and dreaming together. You are summoned as heroes from other realms to this team and/or have a heroic spirit of another person imbued within you. You possess the traits that you do in the real world, plus key character traits of your hero/heroic spirit.
This is real world modern day Japan, except it’s an anime. The students of Akamatsu are generally pretty well off and attractive, or incredibly smart, or both. The uniform is Navy Blue, Red, and White in theme.