There are some AI strategies I'm occasionally disappointed the AI won't try. For example, in cases where the player looks likely to win a space race, beating two AI's who are friendly to each other but annoyed with the player. It would make strategic sense for the weaker AI to offer itself as a sacrifice: go all out war on the player even though it will lose, hoping to slow the player down enough for its friend's ship to launch.
(It could even be "player agnostic" -- if you were friends with a weak AI, and a stronger AI looked like winning imminently, the weak AI could offer to crash-tackle the stronger AI for you...)