One of my favorite exotic torts (especially as we reach the end of the semester) is the negligent mishandling of corpses. This cause of action constitutes an exception to the principle that recovery for the negligent infliction of emotional distress is limited to those who observe an accident in which someone close to them is injured or killed. Under the Restatement (Second): “One who intentionally, recklessly or negligently removes, withholds, mutilates or operates upon the body of a dead person or prevents its proper interment or cremation is subject to liability to a member of the family of the deceased who is entitled to the disposition of the body.” Classic examples would include spilling the body from the casket or putting the wrong one in the grave.
Of course, one could say that this is a claim by the deceased for their interest in the proper disposition of their remains that is being brought by the estate. But it probably makes more sense to think about this as an emotional distress claim of the living that is just one step removed from witnessing a death.