If you're looking for anime similar to Tantei Providence: Meikyuu Jiken Kaimeiroku, you might like these titles.
Maybelle West is a young relative of the famous Miss Marple, and an aspiring detective in her own right. Although the privilege of getting to witness Miss Marple's work from up close ought to be enough to train anyone in the craft, Maybelle also secures herself a place under the tutelage of another detective genius, Hercule Poirot. Thus, she ends up traveling between the village of St. Mary Mead and London, observing the two great minds at work as they use their amazing powers of deduction to solve crimes that leave the regular police baffled.
In the late 19th century, the British Empire nobility reigns while its working class suffers at their hands. Sympathetic to their plight, William James Moriarty wants to topple it all. Frustrated by the systemic inequity, Moriarty strategizes to fix the entire nation. Not even consulting detective Sherlock Holmes can stand in his way. It's time for crime to revolutionize the world!
Waver Velvet – The boy who fought side by side with the King of Conquerors - Iskandar - during the Fourth Holy Grail War in Fate/Zero. Time has passed, and the mature Waver has now adopted the name of Lord El-Melloi. As Lord El-Melloi II, he challenges numerous magical and mystical cases in the Clock Tower, the mecca of all mages...
Virtual reality is no longer a thing of the past, and Conan and the gang have been chosen to be part of a special test group. However, as always, the fun is shattered by nothing less than a murder in the main computer room! In order to discover the identity of the murderer, Conan and friends must complete a virtual reality game set in 17th century London; but as they enter the game, an artificial intelligence known as Noah’s Ark takes control of the system. Now, the lives of the entire test group, as well as Conan’s friends, are in his hands. Can he discover the murderer’s identity and save the day?
Angie is a young girl, who on a one fine day finds herself on the traces of an evil robber. Being the very sharp and smart girl she is, she prevents a conspiracy against the Queen of England. She then finds a great interest in investigations, and as soon as something appears suspicious to her, she investigates it without any hesitation. She comes to the assistance of Scotland Yard and aids in the arrest of many gangsters and other pickpockets. Angie often teams-up with the “not-very-helpful” chief of the police force and his handsome assistant, Michael—who Angie admires—and her best friend friend Franck, to solve the hardest criminal cases.