Looks good to me, and I like Liman's stuff in general.  Cautiously optimistic.

btw, "Edge of Tomorrow with Tom Cruise" sounds like the title of a syndicated talk show that would air around 2 AM.

I read one of the earlier drafts of the script for a class. The action sounds beautifully brutal but the actual story and characters are weak. However, the explanation for how/why the time-loop happens is the absolute worst technobabble bullshit ever conceived.

Much worse than that. I give that line some leeway because it's Jeff Bridges being himself. I might as well post the specific exchange of dialogue so you guys know what I'm talking about. Exactly how much traffic does this forum get? I don't want to risk a chance of hurting anyone, besides myself, by posting it.

I love that power armor, or rather armory. Some of the visuals remind me of the book Armor.

"You're not going in there" or whatever the line... umm, buddy she's been doing this a lot longer than you have

Looks good. I wonder at how well it'll be played primarily for drama; typically this sort of thing has been played for laughs (Groundhog Day, "Window of Opportunity") on top of whatever drama is happening. I look forward to seeing if they can utilize it well.

They can introduce it to a whole new Generation 

Source Code isn't that bad. It just has a terrible, terrible ending.

Aliens invading Earth? Looked to me like humans were invading an alien planet, a la Starship Troopers.

Time travel stories, loops or no loops, will require some form of technobable so I think I can forgive it that point. Quantum temporal mechanics are not exactly the easiest of building blocks...

But, it certainly has an interesting premise, ignoring the temporal mechanics, especially Cruise's line regarding not being a soldier, implying that this might not have been his original career. Again, a good trailer causing more questions than revealing the whole plot (at least, in theory).

That song seems like such a strange choice. Loved it.