Sherlock: The Untold Stories (2019)

The two main characters have a very good chemistry and they have a lot of potential. It's a bromance series where the main leads solve mysteries together with a lot of comedy.

light detectives with two main characters one of whom obsessed with investigations, and the other needs simple human peace of mind

Both are Japanese detective mysteries where there is an insanely smart and quirky main character who, along with their charming partner, solve crimes and mysteries. If you like Sherlock Holmes, mysteries and bromance, then you will like both of these shows.

Both series are Japanese adaptions of the Sherlock franchise. Obviously, the genders are switched in these shows (Miss Sherlock features a female Sherlock and Watson) but both series use a case-by-case investigation set-up.