Recoms

https://www.mangago.zone/read-manga/eleceed/
https://www.mangago.zone/read-manga/cat_on_the_hero_s_lap/
https://www.mangago.zone/read-manga/a_story_about_a_cat_reincarnated_in_a_different_world_where_there_are_no_cats/

https://www.mangago.zone/read-manga/i_ll_save_them_all/

https://www.mangago.zone/read-manga/the_feline_neighbor_and_the_unversed_love/

https://www.mangago.zone/read-manga/mofumofu_to_mukumuku_to_isekai_hyouryuu_seikatsu/

https://www.mangago.zone/read-manga/nekodamari/

https://www.mangago.zone/read-manga/good_morning_leon/

https://www.mangago.zone/read-manga/hosomura_san_and_the_cat_s_snack/

https://www.mangago.zone/read-manga/sekai_wo_teki_ni_mawashitemo_neko_wo_aishiteru/

https://www.mangago.zone/read-manga/aisaretagari_no_shironeko_miko_san/

https://www.mangago.zone/read-manga/taro_miyao_becomes_a_cat_parent_official/

https://www.mangago.zone/read-manga/my_kitten_is_a_picky_eater/

https://www.mangago.zone/read-manga/neko_ga_gotoku/

https://www.mangago.zone/read-manga/ojisama_to_neko/

https://www.mangago.zone/read-manga/cat_on_the_hero_s_lap/

https://www.mangago.zone/read-manga/nekozuka_kun_wa_himitsu_wo_kaburu/

https://www.mangago.zone/read-manga/old_man_and_nyankichi/

https://www.mangago.zone/read-manga/obssesed_butler/

https://www.mangago.zone/read-manga/a_cat_from_our_world_and_the_forgotten_witch/

https://www.mangago.zone/read-manga/neko_s_massage_salon/

https://www.mangago.zone/read-manga/the_life_of_a_grandpa_cat/

https://www.mangago.zone/read-manga/neko_to_gohan/

https://www.mangago.zone/read-manga/a_story_about_a_cat_reincarnated_in_a_different_world_where_there_are_no_cats/

https://www.mangago.zone/read-manga/the_hero_summoned_from_another_world_is_a_cat/

https://www.mangago.zone/read-manga/hiroware_koneko_to_moto_yakuza/

My god... My universe thank thou for thy blessingヾ(☆▽☆)

I love Yujinchou Natsume as well. The Cat is a companion of the MC, but their dynamic is quite complex. Don't worry, it's not BL, just slow burn manga. It also has an anime version. Actually, it isn't exactly a care, but nevertheless cute