Complex family relationships almost always trace back to the parents. The Toxic Parent storyline is a staple, but the nuance comes from making the villain sympathetic.
Consider the storyline of the Immigrant Sacrifice. A parent worked three jobs, broke their back, and ruined their health to give their children a better life. Now, that parent expects absolute loyalty and obedience. The children, raised in comfort, want autonomy. The drama here is tragic: neither side is entirely wrong, but neither side can hear the other.
Or consider the Absent Parent Returns. A parent who abandoned the family 20 years ago shows up on the doorstep, terminally ill, asking for forgiveness. Do the children owe the dying parent peace? Does the spouse who remarried owe the interloper anything?
These storylines are powerful because they ask the audience: What is the limit of forgiveness?
Before we plot a storyline, we must understand the engine. Complex family relationships work because the stakes are existential.
Perhaps the most resilient trope in family drama storylines is the Revelation of the Hidden Past. This narrative device operates on delayed gratification. For years, the family functions (or appears to function) based on a lie.
Consider the classic storyline: The secret sibling. Whether it is a child given up for adoption, an affair baby, or a twin separated at birth, the introduction of this character acts as a wrecking ball. Complex family relationships are tested when the foundation of identity is shaken. If you discover your father is not your biological parent, does your love change? Usually, in good drama, it does—at least temporarily.
Another powerful variant is the Hidden Financial Ruin. The patriarch or matriarch has been spending the family fortune, hiding debt, or gambling away the inheritance. The storyline here is not about the money; it is about the betrayal of trust. The complex relationship emerges when the children must decide: Do we save the parent or save ourselves?
Use shared memories not as nostalgia, but as weapons. A character brings up a "fond" memory that actually exposes a sibling's failure. "Remember when dad took us fishing?" (Translation: Remember when he ignored you and took me?)