Maybe we will see the rise of new games that are "anti-AI" and that would necessarily require AGI for a machine to beat a human. Kinda like "anti-quantum" cryptography algorithms.
Go was considered anti-machine for a very long time due to its extremely high branching making the search approaches which are successful at many other games (such as chess) ineffective.
One might imagine a sociopolitical task as sort of the ultimate machine incompatible goal. A look at how well spambots do at getting dating matches, or at how often clowns get elected to be leaders of nations makes me doubt even those sorts of tasks can't be won out by a well constructed domain specific optimizer.
