If you're looking for anime similar to Fate/Grand Order: Moonlight/Lostroom, you might like these titles.
The year is 2010 AD. Romani Archaman has been posted to Chaldea, where he becomes the primary doctor for a young girl. Mash Kyrielight, Chaldea's second successful summoning experiment, is interested in the word "Senpai."
Part 2 of the Fate/Grand Order -Divine Realm of the Round Table: Camelot movie series.
This is the story of a certain knight. Based on the acclaimed Fate/Grand Order mobile game's sixth singularity, a story of the Knights of the Round Table is about to unfold on the silver screen.
After battling their way through all seven Singularities, the Chaldea Security Organization has finally arrived at the endpoint of the Grand Order: The Final Singularity, Grand Temple of Time: Solomon. Now is the time to defeat the root of all evil, Solomon, the King of Mages. Now is the time to reclaim the future. With the final operation looming large, Romani Archaman considers the choices he will soon have to make, Mash Kyrielight dwells on life's limitations, and Fujimaru prepares to receive a new Mystic Code. All their many encounters have led to this moment as Fujimaru and Mash at last embark on their final operation...
Uzume Uno was on her way to class one day when a stranger dropped a mysterious device into her bag - and it’s no ordinary device! The middle school student soon discovers that she can use the cards within the device to summon five gorgeous dolls to fight for her in card battles with others! What adventures await this would-be card master and her new, loyal dolls?
Rin Tohsaka, a young girl, finds her father's memento. All it has is a catalyst and a pendant. She sets out to summon Saber, a powerful spirit.
Hakuno Kishinami finds himself in the midst of a Holy Grail war with no memories of how he got there. Through his confusion, he must fight to survive.