

Spousal debt: Arizona, California, Idaho, Louisiana, Nevada, New Mexico, Texas, Washington, and Wisconsin.
Other debts: About 30 states have archaic, rarely enforced laws that can make adult children legally responsible for their parents’ unpaid necessities, like medical or nursing home bills.
IANAL and this is a summary from Google, so I cannot vouch for the accuracy of any of it. I can just tell you that in my experience, NY does not pass on debt to spouses.

There are 30 states with laws regarding passing on debts to children, so not sure why I’m being downvoted.