First of all, given Jorb's love for creating new GUI you probably lost them at around "detailed graph" part

That aside, the things I find questionable with these buildings are:
Pillar of Authority: Allows those with permission to view a detailed graph of realm authority and a list of specific exp events. Realms that are less transparent to citizens may not want/care about this at all.
From my experience watching at the realm authority I think such graph would be quite boring and predictable. Usually authority just hovers at its maximum value, unless there is some conflict goes on and you probably know about it already anyway. Also, somehow I feel that graphs don't really fit in game, style-wise. Maybe it can be excused as part of managing intrface, but to me it feels off.
About list of exp events: what does it imply? Does it show you most recent events which contributed to authority level or rank them by percentage size of contribution or what? In either case I fail to see what one can learn from such a list. Let''s say it is dawn time and list shows that a lot of citizens got the dawn event - so what? Also, keep in mind that most of realm's authority comes not from events, but from titans doing XP quests with their one hundred billion charisma.
As a last minor thing, most realms would not want to share information about their authority level to potential enemies, and as such only few people in the game would have access to such a building.
Census Stones: Allows citizens to view roster of other citizens, and send kin invites? Also maybe unlocks more detailed citizen perms? Maybe setup so that citizens must visit the stone first to be available. Meant for more social realms as well.
Would it show online status of citizens? If it wouldn't then I am not sure how one would send kin invites and it is marginally different than already existing realm members list. If it would then suddenly it becomes a great incentive for random people living in the realm to NOT be realm members. As a random hermit I personally would not be fan of idea that any number of unknown bored PK'ers would easily know when I am online by visiting such a structure.
If a structure would add some detalied citizen perms, then one could ask why not have such perms available form the beginning.The fact that managing options are gated behind building certain additional structure is not necessacrily bad, as it, for example, smoothens learning curve of using permissions. But for that there should be good ideas for such detailed permissions and reasons for them to exist in the first place.
Bloody Outcropping: Displays citizen's kills, KO's, crimes(?). Realm's war record. For a more aggressive realm's boasting.
Showing citizen's number of kills and KO looks alright, even if it is somewhat easy to exploit it to hold number 1 for boasting. Crimes are no go for the same reason as before - it gives you big reason to not be realm member, as you don't want the moment you get outlaw debuff become public knowledge. Realm's war record is too vague but I can certainly imagine several reasonable kinds of information to put there.
Austere Slab: Memorial list of dead citizens. Name, Born on Day, Died on Day, Cause of death(?).
This one looks fine as it is. Especially if the "Name" is the last presentation name, otherwise the list wille be quite ugly.
As the separate idea: why not propose a structure that shows the map of the realm? Maybe just a shape of its borders. I realize that it shares many downsides with ideas above, as it is somewhat security flaw, but I thought this was sought in some form several times and there are already exists some dev-side mechanisms to support its realization.