Wibbly-wobbly-timey-wimey-fuckey-offey. As long as it's entertaining, which is subjective obviously
Well, "a wizard did it" is perfectly good rationale within the context of a fantasy series, but when you establish mere minutes before saying "a wizard did it" that there are no wizards in your fantasy world, this breaks the internal logic that you have created and rely upon to generate tension and drama. It's not the nerds and continuity police who'll pick up on stuff like this, it's anyone with an attention span of more than fifteen minutes.
Speaking of: The very first time the show established that the Tardis couldn't land in 1938 New York, I just wondered why they didn't land in New Jersey and take a cab upstate. When Rory and Amy went back in time, I likewise thought "meet up, take a cab to Jersey and meet up with the Doctor" and also "a gravestone is your basis for giving up and doing nothing? Have River pay someone in the past to erect a fake gravestone for your future self to come along and see, then land in New Jersey and get a cab." Seriously, is the Doctor allergic to non-Tardis forms of travel? If so, can't he just land in 1937 and wait around a bit, or in 1939 and see how they're getting on? It's almost like this concept they've come up with for writing these characters out of the show doesn't hold up to any kind of scrutiny. If you're going to write characters out, wouldn't it have been less ambiguous to just have someone shoot them in the head?
Statue of Liberty was stupid. All those booming footsteps and nobody goes to have a look and see what's going on? If it sounded like bombs were going off, people would line the streets to rubberneck. The fucking thing couldn't get five meters before it'd be stuck forever in the middle of some road.
Has it ever been explained why no-one takes a sledgehammer to the Angels? It's not like they can run away.
What's this "fixed time" nonsense? Isn't the whole premise of this show that the Doctor changes time every week? If he found Daleks about to shoot JFK or plant a bomb in Omagh market, does that mean he can't stop them?
Apart from that, an okay episode.