If you liked
Neo Angelique Abyss
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...then you might like
Hakushaku to Yousei
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Both of these series are reverse harem series involving a girl with special powers helping a noble and his retainers. The concept of Noblesse Oblige is central to both series. They also both have a Victorian style setting and a cat mascot.
If you liked
Yu☆Gi☆Oh!
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...then you might like
Majin Tantei Nougami Neuro
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Majin Tantei Nougami Neuro and Yu-Gi-Oh! (Toei version) are similar in several ways. They are both Shonen Jump series. They are both highly episodic but have extended arcs in similar places (Shadi-Aya, KaibaLand-HAL and MonsterWorld-South America).They both involve someone punishing wrongdoers with the help of mental torture. They both have a recurring villain (Kaiba-X) who wants to beat the protaganists. They both have a cast of eccentric characters and one-shot villains. Both series have a case with a serial bomber. Yu-Gi-Oh however has less death and a larger emphasis on friendship, while Neuro has more shock value and is focused more on the villain's psychology.