'Father and son'-- it's a story about everyday life of the son and father. It's mostly comedic and at times wholesome, overall a good read
Actual father+son:
https://www.mangago.zone/read-manga/toki_iro_kazoku/
https://www.mangago.zone/read-manga/tadaima_okaeri/
https://www.mangago.zone/read-manga/chichi_kogusa/
https://www.mangago.zone/read-manga/father_and_son/
https://www.mangago.zone/read-manga/kekkonshite_mo_koishiteru/
https://www.mangago.zone/read-manga/boku_no_yome_no_ranbou_na_aijyo/
https://www.mangago.zone/read-manga/ouchi_e_kaerou_neko_mimi_omegaverse/
https://www.mangago.zone/read-manga/papa_x_papa_to_de_sorezore_yattemasu/
Mentor/father figure:
https://www.mangago.zone/read-manga/gakuen_babysitters/
https://www.mangago.zone/read-manga/ootani_san_chi_no_tenshi_sama/
https://www.mangago.zone/read-manga/peach_and_her_papas/
https://www.mangago.zone/read-manga/flat_aogiri_natsu/
https://www.mangago.zone/read-manga/goblin_dad/
Sorry Peach and Her Papas is a female one but it’s still such a good read!
Anything with good father and son relationship portrayed — idc if it's like gradual development so long as there're scenes of thwm genuinely caring for one another. Scraping the botton of the barrel, I will also take mentor-figure that by the end of it is more of a parent