Responses
the story has a wider premise than that, but it's one of the interests of the mc
https://www.mangago.zone/read-manga/kamitachi_ni_hirowareta_otoko/
I'm not sure how good the manga is, but the novel is fun and worth reading. In the novel he focused on slimes and later goblins. He has some other monsters tamed, but he breeds only slimes and goblins.
https://www.novelupdates.com/series/the-man-picked-up-by-the-gods-reboot/
that mc has the power to tame and breed monsters?