Keishicho Ikimono Gakari

Same female lead, Kanna Hashimoto, plays a police officer as well. In Keishicho Ikimono Gakari, she's the police pet detective taking care of animals found at the crime scenes and uses her close relationship with the animals to find clues to solve the cases. Similar vibes and humor.

Both are hilarious takes on the procedural genre, both feature adorably quirky characters, and both have just enough subtext to keep you addicted.