I don't know anything about Unity, so I can't completely answer your question, but I've heard Unity is limited with smaller stuff, much like flash games. Maybe it's only being used for complex stuff?
I don't think it is only used for complex stuff, here are some examples they made: http://unity3d.com/contest/flash-in-a-flash The winner game is made by only one person in a week, IIRC, and if you consider that complex then its quality is good, too, a 3D flying plane game. You should try it, a simple short game but it is good.
It seems unity use javascript to control the flash which is not accepted by flash sites like armorgames, am I right? And it seems they are fixing it.
Here are some flash demo by unity, I just googled them: http://www.stimunation.com/previews/labs/unityToFlashExport/unityFlashShadowDemo/
It has source code in unity page, you can try to tweak it and export to flash. I am also learning unity, and I was surprised that when I googled unity and armorgames it didn't show many results
It is a game engine and I think it is easy to use and can export to Flash.
Keep in mind the Flash exporting is only a preview and will later be turned into a fully seperate Unity add-on. Which is to say it'll cost 400 dollars just for the basic module.
That's mostly why you won't see one on here. Sky9 Games mentioned that they *might* make a game in Unity, but the chances of seeing it on AG is very slim.
Actually, I know for a fact that King's Bounty and Crazy Fairies are both Unity games. Sure, that's not a whole lot, but it means things are slowly being added.