Health insurance, obviously.
I have life insurance through my employer. I generally subscribe to the "DIME" theory of insurance -- that is, life insurance should cover Debt, Income, Mortgage and Education (college for dependent kids). As each of those goes away, you lower your coverage accordingly.
I have a Long-Term Care plan because it's pretty reasonable (Fed employees are a large insurance pool). The benefit is automatically adjusted 4% each year.
In addition to our Master insurance (we live in a 2-condo bldg.), we have an H-06 policy that covers inside the walls (personal property, furnishings, cabinets, appliances, etc.).
And a $1million umbrella policy.
I think this more than covers all contingencies for me.