It would be interesting to be able to request, or offer, "Learning" type games.
Meaning a person could create a turn based game where they either OFFER (teacher), or REQUEST (pupil) a game of this "Learning/Teaching" type. It would be created automatically as UNRATED [with rated NOT being available], and in this style of game, the person TEACHING could offer to undo the student's last move with an explanation about why it's not the best move, or pointing out reasoning, or alternate strategy, etc.
So, someone who wants to learn to play better can be guided by a person who's guiding/communicating with them. Maybe the teacher could even move the game back an arbitrary number of moves to show a variety of alternatives.