Because the series' episodes generally combine the mundane (Tatsu has a birthday, he goes grocery shopping, he becomes obsessed with killing a cockroach which has invaded his home) with the fantastical (Tatsu ends up in a cook-off with his now professional chef former yakuza rival, he finds himself being investigated by the police, who don't believe he's gone clean, he has to apply his skills as "the Immortal Tatsu" to play company party Santa Claus or get his wife's bento box to her intact) without an overarching plotline being involved, it's likely that the show won't change its formula between seasons.
Expect more adventures from Gin, whose intelligence remains concealed from her owners, more one-off adventures from Tatsu, who will cope with the world, and a little more about Miku's career in design, but a whole lot about her loving marriage with Tatsu. It's likely we'll have more visits from relatives of both Miku and Tatsu (we met Miku's father in the fourth episode of the show), and the couple will continue to move through the world while dealing with Tatsu's past. Whatever the show has in store for viewers, it will likely enchant them.
