I find its kinda fulfilling to check how your character is doing and what he looks like it with all the time spent on him.
Most rpgs have complex character menus for that exact same reason.
A menu having some of the information that we can find in the game statistics, yet a little bit more intuitive, even Oblivion's was better in that way.
I am thinking here: A main chosen title, a list of emblem-like illustrations showing off achievements, guild positions, dragon shouts mastering, etc.
Another interesting add would be an alchemy book, where we could sort/see the ingredients(organised in different categories) from Skyirm as we collect them. Maybe even saying in what areas that ingrediant is available, etc.