Just got back from seeing it tonight. And Goddamn is it a great movie and, personally, I think it's the best comic book movie I've seen yet.
So those wondering why they didn't send Kitty back, they do explain it. With a trip that far back into time, it would be pretty much lethal to anyone who wasn't Wolverine, which is why he was the only choice. Not the first one; originally Charles wanted to go, but he would've died which would defeat the purpose. As far as Kitty is concerned, she's the one who had the power to send people back because...well they don't really explain. Maybe some advancement of her phasing abilities (which she does use) or something? Who knows. But she's integral to the plan working so there's that.
Breaking Magneto out of the Pentagon was pretty awesomely done. And they threw in a nod to Magneto being Quicksilver's father without actually saying as much. Oh and he's locked away for killing JFK. Except he was trying to save the President because turns out he was a mutant. I guess Kennedy's power was making Nixon look like shit during televised debates?

Lots of actions, excellent character work and a story that kept on giving. It was solid in pretty much all areas. The only real niggle I had was when Stryker didn't seem to recognize Wolverine. That could be me misinterpreting things, though; there was only a very brief moment they were together, and he basically looked at the claws before running off. Which, to me, indicated some surprise at seeing them at all (and sparked his interest in Logan); except Wolverine and Sabertooth started working for him during Vietnam? Or at least got locked up during the conflict, but this movie starts days before the Paris Accords and Logan was in NYC at the time. I'm not sure though, I could have just read that brief moment wrong.
All the X-Men movies are in continuity...or were, before time travel shenanigans. They even played Jean's death from X3, so it happened. Except it didn't because time travel. Seeing both her and Scott in their cameo at the end was awesome though.
Little confused about Rogue though. Maybe her actress is that big of a name, but she got pretty high billing, right before Ellen Page even. Except I only remember seeing her at the very end in the Good Future with Bobby, and she didn't even really say anything (maybe a quick "Hello" I missed). But then I remember seeing a scene of her in the Bad Future from the trailer, or at least showing her suffering/crying or something like that, so maybe there was something that was cut? Hopefully an extended edition or at least deleted scenes are shown.
Also a post-credits scene. Stay for it. Definite setup for future movies.