It is hard to find some on my completed list... maybe:
Lupin no Musume - lively and natural family of thieves :)
Mare (asadora) - life of one family, that moved to countryside, short episodes, but a lot of them.
The 8-Year Engagement (movie) - supporting family. Probably not what you want, but it is beautiful movie (based on true story)
The Suspicious Housekeeper - family healing drama
Ani ni Aisaresugite Komattemasu - brother-sister ralationship, but maybe in different way than what you want. :)
House of Bluebird (korean morning drama) - it has a lot of family interactions
