Beyond looks much better than Kara, in someparts Heavy Rain looked better than Kara demo, but nothing comes close to that PS4 old man head, it was way too much detailed 

I know I'm somehow missing the point, but:

The amount of details in the old man face is crazy... the Heavry Rain and Beyond faces seems flat when compared to old man.

ignore

Early FF XIII CGI & in game. (2007)

 
 Real time engine run on the PS4 (Agnis Philoshophy)

 

Square never fails to dazzle

Agnis on PS4? No :)

Correct me if i'm wrong but they did run it on a PS4-like machine during the PS4 meeting.

Correct me if I'm wroing but they did show a tech-demo they released way before the PS4 meeting.

You are not helping. Obviously it was the same thing but some months ago it was run on a high end PC rig and this time it was run on PS4-like specs.

That was the point of their presentation during the Sony meeting.

Where can I see that this actually ran on PS4-like specs? I am just sceptical after the PS2-Square-tech-demo with FF8-dancing-scene and after the PS3-tech-demo which showed FF7-opening. I don't say these graphics won't be able to achieve on next-gen-consoles but the tech-demo is definitely too far away by now, I think. 

But we will see if, say, next year, we will see these graphics. Wanna bet with me we won't? ;)