Personally, I'd like the following information to be displayed:
1. Job levels.
2. Craft levels.
3. Mission status.
4. Quest status.
Make it easier to find people for grouping for certain missions/quests, and for crafting purposes. A lot more convenient than just sitting in Port Jeuno for an hour hitting the same macro (if you're smart) or space bar + up arrow, enter... :/
This is assuming of course SE is smart and creates a search feature for these profiles fitting the criteria. But I doubt that will happen. I'm still for this because it does create accountability. Like I said before, I would say nothing on here that I wouldn't say on FFXI. Vice-versa applies too.
To the poster with a stalked friend, it's unfortunate to hear of your loss due to a stupid retard. But that was an entirely different thing - and I won't begin to speculate - but forum posts and relationship troubles are two entirely different things.
All against this need to remember what they were taught in kindergarten. I'm sorry that you've had all this time to forget of liability whilst using the Internet. But it was bound to happen - and it's going to happen on a much grander scale one day, I can assure you.