A feature I would really like to see in possible sequels would be competitions against other pupils, with judges being other pupils or/and teachers. Let's say there would be a baking competition in three weeks, and you would decide to participate, along with six other pupils. The winner would be determined by various factors, set against those of the other participants, those being: Your relations to the judges, your skills in cooking, a competitive skill, and a random social skill. Those numbers would be added and the participant with the highest number would win (reward could be pims, a rare item, improved skills or relations).
I think this would wonderfully fit into this game, since you could actively influence the turnout of those competitions with features already there, such as casting spells that could weaken your competitors in the related skill, gossiping, etc. I don't know if the UI would enable that, but of course the competitors could also actively try to sabotage you or enhance their own chances at winning.