I may not be the first person to suggest these. I'm pretty new to Allakhazam and certainly haven't read through all the posts here.
First: I would like to be able to make comments about each character on my character list page. This would mainly be for my own use, but it could be visible to other people too (though I doubt people are really interested in my characters enough to care).
Second: I only play WoW (of the games supported here) and my main is a Hunter. I'd like to be able to see my pet's level, skills and specs here but didn't see them, even when going into all the detail I could on my main character's information screens. Maybe I overlooked something, but if that's not something that's already available, it would be cool.