Just played about two hours of the PS3 version. It's basically idtech5 on the old consoles: sometimes it looks better than anything on the PS3, and sometimes it looks PS2 budget level. But it's buttery smooth 60 FPS, the loading is fine, and I don't think the resolution drops. A little bit of tearing in cutscenes, not gameplay. The audio bugs that people are mentioning on PC/PS4 are here too, which is a shame because the audio effects and music are really good. So it's a bit uneven, but it's damn fun. Overall, it's a fine cross-gen release.
Technical comments aside, I really like the game. The cutscenes are...actually directed well. I don't know what to make of this, other than to gleefully enjoy their effectiveness. The guns are satisfying and the various mechanics outside of the shoot-Nazis blueprint make it feel open and engaging. The level design is decent - I usually get lost in the thick of battle and it's refreshing. It's pretty easy on the default setting, but when you mess up and it throws waves of dudes at you, it's possible to die.
A lot of the game reminds me of Resistance 3. Probably because of the good weapons, the art design, and the audio bugs. But also because Resistance 3 combined the various schools of FPS design into a single cohesive game and it felt right; linearity and taking cover, but still an element of exploration, resource management and wandering around. I also get the impression that the game doesn't blow its load immediately, because it doesn't have to. Good pacing, keeps you engaged but not overwhelmed.
This is exactly the type of shooter I've wanted for a long time. I suppose it's not shined to a pristine and incredible AAA sheen that some gamers might be used to, but god I really enjoy what it does and I hope its gets respect for that.
EDIT: The game also requires an 7.2GB install, which goes by much faster than a lot of PS3 game installs. I found this very surprising. The 1.01 patch was only 35 MB though.