A page with information on past runs. The current logbook is cute and flavorful, but having an actual statistics page where you can see your card picks, charms, etc would be awesome.
Maybe which bosses you faced. Possibly show the map and the route you took.
Ideally you could also add in a score for the run, like is computed for the daily voyage. And if the rng-seed suggestion goes through you could get the seed for a run from here too.