If you're looking for anime similar to Tsuki to Yoru no Monogatari (Light Novel), you might like these titles.
It’s been fifty long years, but the world’s favorite genie family is back. Now the queen-to-be Akubi must hone her genie skills by guiding one preteen toward his dream. The only problem is the magic of modern life and her royally embarrassing family.
This is the classic story of the young boy Aladdin who is tricked by and evil wizard to go inside the cave that holds a great treasure and there is an old lamp that he needs to bring to him. He meets the slave of the lamp and his and becomes the most famous kid in town and marries the princess Madral. the rest we know...
A young boy finds a bottle in his attic with a genie who can be summoned by sneezing. Unfortunately, the genie isn't very good, and his wishes have a tendency to go wrong...
Freed from his longtime prison, Belldandy's mentor Celestin is once again trying to overthrow the Goddess System, but he can't do it without her. To "help" her decide anew whether to join him, he blocks her memories of Keiichi. As Keiichi and company race to restore Belldandy's memory, Keiichi also has to deal with the mysterious Morgan, the one who released Celestin in the first place!
While tidying up the house, Keiichi discovers a notebook of his grandfather that contains a picture of a mysterious girl and a treasure map. Excited by the prospect of an adventure, Urd and Skuld are itching to go with Keiichi to find the loot, but tight funds mean the Auto Club's annual camping trip takes priority. What's more, the young maid hosting the group is convinced that a promise made with Keiichi ties the two together! To make matters worse, Peorth is determined to make Morisato confess his true feelings for Belldandy. Will Keiichi ever be able to say 'I love you', or is the pressure too much for him to handle?
In a sand-swept land of caravans, brigands and adventurers, legends tell of the ominous dungeon towers that suddenly appeared 14 years ago. It's said that by clearing one of these prisons, you can obtain treasure beyond your wildest dreams, and even form a contract with magical genies of immense power - assuming you make it out alive. In this world, Alibaba is a young rogue who wants nothing more than to get rich by clearing all of the world's dungeons, starting with the nearby tower Amon; Aladdin is a curious young boy with a magical flute and a hidden ability; and Morgiana is a slave who can't escape her chains. As their fates intertwine, the three find themselves wandering the land, battling powerful enemies, and taking a stand against powerful forces that seek to corrupt the weak and innocent.
The Princess and her animal friends face many challenges in their desert journey to find an oasis and save their draught-stricken kingdom.
As Yuta dreams of owning the treasures of Dunhuang, he is miraculously transported there. The treasures he discovers are not what he imagined them to be.