These three-minute chunks exist to remind you why you loved these characters in the first place. Tohru breaking the fourth wall to complain about her own screentime, Kanna's deadpan chaos, Lucoa being exactly as much as Lucoa needs to be, the jokes land because the show trusts you already know these people. It's not trying to be the series; it's the show exhaling, letting you sit with them between the big story beats.
Miss Kobayashi's Dragon Something is a set of seven short specials from 2017, released as extras on the BD and DVD editions of Kobayashi-san Chi no Maidragon. Like the main series, they mix comedy and fantasy with everyday slice-of-life moments. They're a natural pick for viewers who already know the show and want a little more of it.