Firstly, I'd like to give a big middle-finger flip to production companies of any type who are so self-important that they feel their logos have to fill half of a two-minute traier. It's irritating, guys. Five seconds is all we really need to know who you are.
Secondly, I'd like to remind folks that (at least to my hazy recollection; I'm hardly an aficionado of comic books) Wolverine, back when he was just Logan, did spend time in Japan. The trailer looks like it's delving into Japanese supernatural mythos a little bit, and pitting Logan against what it offers.
Now, what do I think of them? Well... meh, really. I feel like I've seen both of them before, somewhere; if it weren't for Iron Man's unique design and Wolverine's distinctive claws, these clips could have come from any unremarkable anime movie or OVA in the last ten years. I don't see any reason to get excited about either of these.