A few things im seeing regularly:

The Elf bounces between woods spaces even when the spaces are locked up with meaningless cards - essentially making the AI a total non-threat.

The riding horse is used completely arbitrarily by AI. Now I fully recognize the difficulty in making the riding horse work good for AI, but the lag time of AI using the card is frustrating when it clearly serves no purpose.

Ive noticed that the Assassin does not assassinate on the CoC.

AI will often ditch their best followers when forced to loose one. It would be better if they could rank their followers/items so they retain their most powerful/relevant cards.

The AI really likes to step into through the power of portal, only to step back through the next round.

(Still enjoying the game. My wish list is: a 1 round undo for solo play; a round/turn history; an option for giving all AI characters three random rune stones)

The Assassin is not able to assassinate at the Crown of Command. It's on his character sheet.

Duh, I knew that! lol

There is a turn history. Not sure if it's able to be saved in anyway but you can look at it during the game. Click at the top where it says "so and so is thinking" and then you can enable anything relevant you want to go back and keep track of. Unless you meant something else that should cover what you're looking for.

I agree there should be an undo button. I know it would get exploited horribly but I've had a few cases of accidentally dropping an item or something along those lines that I would have liked to have been able to fixed.

Found the turn history! Thanks!