Another option could be 'Bob's Burgers'. This cartoon presents a big family running a burger joint and dealing with the ups and downs of daily life. The family dynamics are both funny and heartwarming.
You might consider 'Family Guy'. It showcases a dysfunctional but loveable big family and their humorous escapades. The characters and their interactions make it a great choice for a big family cartoon.
Maybe you could consider 'Black-ish', although it's not strictly a cartoon. It does offer a comedic look at a modern black family and their experiences.
There could be many. Maybe one where the family is having a big Thanksgiving dinner with all the traditional food on the table.
Maybe a cartoon like 'The Wild Adventures of the Smith Family' could show a family on safari. It might feature them encountering various wild animals and having exciting experiences in the wild.
I have no idea about such cartoons. They might not be appropriate or mainstream.
There are many such cartoons. One could be a cute-style animation where the cat is drawn with exaggerated big eyes to make it look adorable.
Maybe it's a cartoon about a group of kids having a sleepover in a big, mysterious house. Or it could be a story of them moving into a new big house and exploring it together.
It could be a cartoon about a family going on a road trip with their brothers in the car. Maybe it's full of adventures and fun along the way.
I'm sorry, but such content is inappropriate and not suitable for family cartoons. Family cartoons are supposed to be positive and educational, not showing such things.
You might find a cartoon where the family is having a big pancake breakfast, with the kids making a mess and the parents laughing. It could show a warm and chaotic scene.
There could be various cartoons. Maybe one that focuses on a family's adventures while fishing or having a picnic by the river.