X-Men: Days of Future Past
There is something to be said of time travel movies. I'm rarely fulfilled by them, as their endings tend to invalidate the whole story by erasing things from existence. In this case, this is Bryan Singer's vehicle to wipe the slate clean for everything that happened after X-Men 2, still the best in these series of films.
The movie turns Mystique into John Connor, making her (or her DNA) the lynchpin for a series of apocalyptic events that lead an aged Charles Xavier and Magneto, allies in an alternate future, to send Wolverine's mind back into time in the 1970s where he has to convince a young, addled Professor X to rally the X-men to save the future.
The movie is not exactly thrilling and doesn't have some of the high notes present in the otherwise safe X-men: First Class, though there is a scene stealer by Quicksilver and some much needed reappearances from characters we hardly got to see kick any ass in previous films (though fleeting).
I suppose it is fine, if convoluted. There is a character who is released from prison early on for no reason that seems to make sense, given who he is, and once freed he does nothing but make matters worse. Seeing a young, militant Mystique is a welcome change from the last movie and closer to her character. Eric and Charles still need to just get it over with and blow each other, so sorry fan girls, no lustful revelations here.
Godzilla
I was hoping for an honest to A-bomb retelling of the 1954 original, Gojira, but it became clear early on that this was more of a reboot for the Godzilla movies that came after, which is no bad thing.
This movie comes from the director of the much ignored and underrated film Monsters, and although the tone is very different the movies share the similarity in that the "monsters" play second fiddle to the turmoil experienced by human characters, trying to deal with the ramifications of a Kaiju attack. We see some imagery that recalls some 9/11 horror, and while there is no denying a huge loss of human life the movie never comes close to turning this into a popcorn flick, like what we had in Pacific Rim.
I did not think very much of the score, however, and those hoping for more screen time by the title monster have to settle for what's here. The human characters who predominate the scenes are quite lacking for the screen time that is experienced. But what we don't have is another Ferris Bueller Godzilla, and while it isn't perfect it could definitely serve as the origin story for a series of better Godzilla films...assuming they don't mess it up.
tl;dr
Both are good but not as good as Amazing Spiderman 2.