If you're looking for manga similar to Ouchi e Kaerou: Neko Mimi Omegaverse - Kazoku ga Fuetara, you might like these titles.
His colleagues at work see him as handsome, cool, and distant…but the moment he’s back home, this frosty-looking salaryman shows his true colors as a doting father and husband. Playing silly games with his young daughter, showering kisses on his beloved wife – talk about a gap between his appearance and personality!
Papa (Sousuke) and Mama (Sakura) are childhood friends and now are husband and wife. They have a son who's a bit precocious named Takkun.