The most famous "weakly godlike" AI entities are probably the Culture Minds (RIP I.M. Banks). Or ar least they’re supposed to be weakly godlike. In practice they never seem to do anything that a bunch of particularly smart humans couldn’t do, besides being exceedingly parallel, being able to, say, carry a conversation with a hundred million people at the same time. Indeed, they weren’t even able to predict that a certain agent of theirs, a highly effective warrior, would go and win a war that he was (unknowingly) supposed to lose. Never mind being able to figure out his true identity, or at least entertain the possibility given what they knew about him.