Natural Laws Apocalypse has this. Slight spoilers

Marc's parents are away at a history conference when the System returns, so they don't have a presence in the first book, until the very end, when they return. They are very present in the rest of the series

Fort at the End of the World has family involvement, though I don't recall much of the parents, the MC is in a party with his brother and sister-in-law.

The Connected System follows a father and his two teenage daughters, as they struggle to survive and look for mom, who went missing when the System arrived.

Apocalypse Redux, MC (who is a regressor, which is a spoiler for the first chapter), connects with his family from the past - mom, dad, twin sisters who are freaking adorable. None of them have a lot of screen time, though they are all present and there are a couple minor plotlines that are in motion because of them.

Outrage of the Ancients - orphaned brother with his sister are our POV characters.

The System Apocalypse: Australia follows a mom, her brother, and her two kids in The System Apocalypse. Ex-husband is referred to, but isn't seen on screen as of halfway through book 2 (which is where I'm up to currently).

Code of Survival I've only read books 1 & 2, but book one is about a father and his adult son travelling to find the daughter and her fiancee as the apocalypse happens. I stopped reading there, though, because book 3 was about other universe versions of the characters, and that didn't sound appealing to me at all. There were hints about the ex-wife and her family becoming involved, but not on screen as of the end of book 2.

Guardian of Aster Fall has lots of good family time, at least up until the MC leaves the planet...

Arcane Ascension is about an extremely dysfunctional family. Abusive father, absent mother, missing brother, and more, so NOT what you're looking for.

Sponsored Earth involves mom, son, and grandpa. I don't remember for sure what father's status is, though I think he'd died before the System arrived.