In Dreammaze, you play as the hero who is destined to relive one dream over and over again until he destroys the demon Akumu, who has enslaved the four princesses and the Queen of the world of Enderia. Also, the suffered animals and toys of the world have become possessed.
The game takes place through 5 areas with a total of over 60 floors, so there's quite a bit of volume. On each floor you can buy a map that will show you the floor's layout, although there's no way to know where anything is on the map (stairs, shops, etc.) The areas are suitably kid-dream themed (Cake Tower, Pudding Tower, etc.)
If our hero hopes to destroy Akumu, he will need to beat up the suffered animals, and take the clothes, called Kigurumi, that are left behind.