Of the top of my head I recommend reading https://www.mangago.zone/read-manga/shiba_inu_rooms/
And also https://www.mangago.zone/read-manga/ojisama_to_neko/
They're both slice of life. The first one has some fantasy elements and focuses on MC with their dog. The second is pure slice of life with the changing viewpoint between MC and the cat. Although they sometimes do interacts with other ppl. Overall both are really cute and has emotional scenes.
If those aren't your taste I might have other ones to recommend ٩(๑❛ᴗ❛๑)۶
Drop it(☆▽☆), i need moreeee
mc is kinda had stoic face and he live with the cats alone. well at some point if you're preferring comedic story i think this one is good
https://www.mangago.zone/read-manga/taro_miyao_becomes_a_cat_parent_official/
Does anyone know a story where the mc have a personality/attitude of being aloof, stoic like rather than having an eventful life she/he instead prefer live alone or like with an animal.