 If you liked Odd Taxi |  ...then you might like "Oshi no Ko" |
Both anime are full of plot twists, with Odd Taxi being more of a 'mystery' anime, and Oshi no Ko more focused on 'drama' and acting itself but still has a mystery element to it. Odd Taxi's mystery highly revolves around radio news/media and the idol industry (with some mafia stuff), while in Oshi no Ko it revolves entirely around the entertainment industry. Odakawa, for the most part, takes a backseat (driver's seat?) in Odd Taxi as an observer; while Aqua drives the story of Oshi no Ko. Both Odakawa and Aqua are smart and tactical MCs; Odakawa uses his intelligence to deduce information and strategise
(Potential Spoilers) Both Murder Mystery around Idols. Odd Taxi is Wider focused encompassing of other bad aspects of Japanese culture like Gacha, Hikikomoris, Yakuza, Starved for Attention, Jealousy etc converging into a grand Chekov's Gun. Finishes whole story in a single season and an OVA. Oshi No Ko is Tall focused towards a specific few murders in idol industry around the protagonists. Neither serves as a hope for change or fix from the present idol culture status quo. Neither are Perfect Blue material. For Odd Taxi, its not important. Both have the same niche setting.